{"pages":{"search":{"query":"principle maths","originalQuery":"principle maths","serpid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","parentReqid":"","serpItems":[{"id":"15315419269073428777-0-0","type":"videoSnippet","props":{"videoId":"15315419269073428777"},"curPage":0},{"id":"1766500343147382522-0-1","type":"videoSnippet","props":{"videoId":"1766500343147382522"},"curPage":0},{"id":"4181168480309113352-0-2","type":"videoSnippet","props":{"videoId":"4181168480309113352"},"curPage":0},{"id":"7536839533290034369-0-3","type":"videoSnippet","props":{"videoId":"7536839533290034369"},"curPage":0},{"id":"R-I-113683-5-0-4","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":4,"grab":"dHByaW5jaXBsZSBtYXRocwo=","statId":4,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","ui":"desktop","yuid":"5327593941769499987"}}},"isAdult":false,"position":4,"placement":"empty"},"curPage":0},{"id":"16729247296527920374-0-5","type":"videoSnippet","props":{"videoId":"16729247296527920374"},"curPage":0},{"id":"2479714228423395784-0-6","type":"videoSnippet","props":{"videoId":"2479714228423395784"},"curPage":0},{"id":"13124734774382835020-0-7","type":"videoSnippet","props":{"videoId":"13124734774382835020"},"curPage":0},{"id":"9292842312659087400-0-8","type":"videoSnippet","props":{"videoId":"9292842312659087400"},"curPage":0},{"id":"14117449247433690846-0-9","type":"videoSnippet","props":{"videoId":"14117449247433690846"},"curPage":0},{"id":"9493068173905662060-0-10","type":"videoSnippet","props":{"videoId":"9493068173905662060"},"curPage":0},{"id":"R-I-113683-5-0-11","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":11,"grab":"dHByaW5jaXBsZSBtYXRocwo=","statId":11,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","ui":"desktop","yuid":"5327593941769499987"}}},"isAdult":false,"position":11,"placement":"empty"},"curPage":0},{"id":"7178376288232686161-0-12","type":"videoSnippet","props":{"videoId":"7178376288232686161"},"curPage":0},{"id":"5961723417693686933-0-13","type":"videoSnippet","props":{"videoId":"5961723417693686933"},"curPage":0},{"id":"14013459296835282522-0-14","type":"videoSnippet","props":{"videoId":"14013459296835282522"},"curPage":0},{"id":"13089491564869946050-0-15","type":"videoSnippet","props":{"videoId":"13089491564869946050"},"curPage":0},{"id":"3271720755341921405-0-16","type":"videoSnippet","props":{"videoId":"3271720755341921405"},"curPage":0},{"id":"405744457413752062-0-17","type":"videoSnippet","props":{"videoId":"405744457413752062"},"curPage":0},{"id":"3200354166785473669-0-18","type":"videoSnippet","props":{"videoId":"3200354166785473669"},"curPage":0},{"id":"5851630637734794827-0-19","type":"videoSnippet","props":{"videoId":"5851630637734794827"},"curPage":0}],"filters":{},"serpFooter":{"linksGroups":[{"type":"geo","links":[{"label":"Columbus","title":"Columbus","url":"//yandex.com.tr/tune/geo/","logNode":{"name":"region"},"target":"_self","a11yLabel":"Bölgeniz Columbus","needRetpath":true}]},{"type":"help","links":[{"label":"Bize ulaşın","url":"https://yandex.com.tr/support/video/troubleshooting.html","logNode":{"name":"feedback"},"needRetpath":true},{"label":"Yardım","url":"https://yandex.com.tr/support/video/","logNode":{"name":"help"},"needRetpath":true}]},{"type":"settings","links":[{"label":"Ayarlar","url":"https://yandex.com.tr/tune/search/","target":"_self","logNode":{"name":"settings"},"needRetpath":true}]},{"type":"company","links":[{"label":"Şirket hakkında","url":"//yandex.com.tr/company/","logNode":{"name":"about"},"target":"_blank"},{"label":"Kullanım lisansı","url":"//yandex.com.tr/legal/termsofuse/","logNode":{"name":"license"},"target":"_blank"},{"label":"Gizlilik Politikası","url":"//yandex.com.tr/legal/confidential/","logNode":{"name":"confidential"},"target":"_blank"}],"a11yHidden":true}],"hasExtralinks":true},"currentPage":0,"prevPageToLoad":-1,"nextPageToLoad":1,"isTranslationsFilterEnabled":false,"isTranslationsDistributionEnabled":false,"isTranslationsDistributionOnboardingEnabled":false,"isFeedbackModalVisible":false,"prevention":{},"hasNextPage":true,"rightSerpItems":[{"type":"direct","id":"search-list-right","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"R-I-8843654-1","renderTo":"search-list-right-0-R-I-8843654-1","pageNumber":0,"grab":"dHByaW5jaXBsZSBtYXRocwo=","darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","ui":"desktop","yuid":"5327593941769499987"}}},"isAdult":false,"position":0,"placement":"search-list-right"},"curPage":0}],"isAdultQuery":false,"errorList":[],"layout":"list","retpath":"https%3A%2F%2Ftwitter.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3Dprinciple%2Bmaths"},"main":{"_isInitial":true,"snippets":[],"serpFooter":{"linksGroups":[]},"isLoggedIn":false,"tags":[]}},"internal":{"nonce":"3173769380691559457324","expFlags":{"video_settings_toolbar_redesign":1,"velocity_delay_drawer":1,"video_feedback_in_d2d":1,"video_viewer_heartbeat_disabled_in_no_js_api":1,"video_search_toggle_with_text":1,"velocity_disable_suspense":1,"video_viewer_desktop_smart_layout":1,"dark_theme_desktop":"cookie","distr_splashscreen_on":1,"video_viewer_check_sandbox_origin":1,"video_font_yandex_sans":1,"video_adv_new_show_rules":1,"video_resource_loader":1,"video_adv_config_desktop":{"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"new_template_version":4,"video_search_page_no_islands":1,"video_vh_player_js":0,"video_masthead_ratio":"180,4","video_searchdata_scheme":1,"video_viewer_related_fail_error_screen":1,"velocity_delay_metrika":1,"video_viewer_no_islands":1,"video_viewer_channel_link_mode":2,"video_partner_label":1,"video_resource_loader_load_timeout":6000,"int_tr":1,"mmui_extended_escape_scheme":"searchdata.clips.0.authorname","tabs_order_version":"search,images,video,newstr,maps,translate,tr_ecom","spok":"id","video_suggest_use_serp":1,"video_search_grid_direct_repeat":6,"video_viewer_critical_error_codes":"101,102,103,100,151,152,153,154,155,156,150","video_direct_config_desktop_search":"search-grid-row:R-I-48058-718:R-I-474674-109,search-grid-head:R-I-2120168-7","init_meta":{"enable-yabs-distr":1,"ask-user-purchase-history":1,"use-src-videoquickp":1,"enable-begemot":1,"enable_masthead":1,"use-src-videop":1,"use-src-videoquickp_misspell":1,"enable_blackbox_multisession":1,"begemot-enable-cancelled-misspell-rtmr":1,"enable_video_iron_fetcher":1,"use-related-only":1,"ask-yandex-io-devices":1,"use-images-device-setup":1,"use-src-imagesp":1,"images-apphost-collections-front":1,"enable_aab_apphost":1,"graph-is-video-search":1,"bg-bert-video":1,"use-src-imagesp_misspell":1,"use-src-imagesultrap":1,"use-video-apphost-pre-templates":1,"use-src-videop_misspell":1,"use-video-apphost-post-templates":1,"use-src-imagesquickp":1,"enable_video_carousels":"1","restrict-max-docs":"1000","use-images-region-setup":1,"use-post-auto2":1,"use-images-settings-setup":1,"use-src-ugc_favorites":1,"video_vitrina_disable":"0","use-images-user-setup":1,"use-video-pre-search-data":1,"begemot-no-suggest-history":1},"video_depot_viewer_masthead_ssr_only":1,"video_blender":1,"video_search_grid_enable":0,"video_viewer_desktop_fix_d2d_scroll":1,"video_depot_viewer_legacy_counters":1,"video_search_grid_direct_start":3,"video_adv_new_show_rules_docs_count":1,"beauty_header_futuris_tab":9,"video_related_suggest_enable":1,"video_redirect_plug":2,"video_adv_grid_inplace":1,"distr_popup_on":1,"dark_theme_desktop_default_pref":"system","video_search_toggle_enable":1,"video_depot_viewer_related_adv_margin":400,"video_viewer_doc2doc_instant_load":1,"velocity_split_hydration":4,"video_duration_counter_new_format":1,"video_force_grid_on_premordie":1,"int_online_summarization_video_snippet":1,"video_morda_header_nav":1,"video_nohost_full_filter":1,"distr_pcode_off":1,"video_baobab_blockstat":1,"video_thumb_poster_full":1,"video_scrollpages":2,"video_serp_desktop_block_design":1,"video_nohost_youtube_filter":0,"video_viewer_host_link_mode":1},"slots":["1455699,0,66;1472350,0,22;1457620,0,12;1473742,0,58;1468855,0,77;1460717,0,47;1464561,0,31;1460214,0,96;1152684,0,54;1459323,0,99;6160,0,17;1383554,0,42;1469885,0,39;43962,0,13;1461712,0,98;1455766,0,66;1470221,0,53;1373786,0,47;1466296,0,98;1465943,0,22;1463531,0,99;708541,0,99;1467149,0,57;1452051,0,97;1466619,0,67;1470513,0,72;124072,0,19;89019,0,74;724556,0,68;724636,0,68;1471184,0,24;805351,0,74;1060666,0,5;151171,0,45;126351,0,63;1281084,0,51;287509,0,88;1447467,0,99;788004,0,75;1473595,0,24;1468028,0,25"],"isYandexNet":false,"platform":"desktop","isEnLogo":true,"retpath":"https%3A%2F%2Ftwitter.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3Dprinciple%2Bmaths","mordaUrl":"//yandex.com.tr/","videoSearchUrl":"https://twitter.yandex.com.tr/video/search?text=principle+maths","settingsUrl":"https://yandex.com.tr/tune/search/","helpUrl":"https://yandex.com.tr/support/video/","legalUrl":"//legal.yandex.com.tr/termsofuse/","feedbackUrl":"https://yandex.com.tr/support/video/troubleshooting.html","basename":"/video","currentPageName":"search","isYandexApp":false,"isYandexAppAndroid":false,"isYandexAppIos":false,"isAnyYaBro":false,"isAndroid":false,"isHamster":false,"serpid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","backUrl":"//ya.ru","url":"https://twitter.yandex.com.tr/video/search?text=principle+maths","isIntegrationTest":false,"isEndToEndTest":false,"shouldDropLogs":false,"seo":{"title":"principle maths: Yandex'te 2 bin video bulundu","description":"Результаты поиска по запросу \"principle maths\" в Яндексе","keywords":"яндекс видео, поиск видео, смотреть онлайн, сериалы, фильмы, клипы","shareTitle":"principle maths — Яндекс — поиск по видео"},"isEmbedded":false,"isPumpkin":false,"sessionCsrfToken":"y93b35f17557b254804277bc327eb2b19","reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"1455699,1472350,1457620,1473742,1468855,1460717,1464561,1460214,1152684,1459323,6160,1383554,1469885,43962,1461712,1455766,1470221,1373786,1466296,1465943,1463531,708541,1467149,1452051,1466619,1470513,124072,89019,724556,724636,1471184,805351,1060666,151171,126351,1281084,287509,1447467,788004,1473595,1468028","queryText":"principle maths","reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"5327593941769499987","uid":"0","isChildAccount":false}},"userTestids":"191768,238743,246500,253288,265553,270072,277807,274239,294077,278842,331010,338398,378416,359879,415420,644350,652605,645301,679708,689693,690449,696466,696473,722746,740796,776165,771230,781521,790415,801982,851450,886706,883477,900639,931367,937268,969063,935488,945314,989988,982463,991363,990185,1015567,1011895,1035320,1033956,1035241,1036046,1087297,1060131,1071879,1078818,1077703,1116602,1045814,1131637,1144233,1151726,1156933,1174275,1173000,1167408,1202006,1194718,1221235,1228280,1239596,1227266,1226860,1246754,1276447,1289213,1316370,1313283,1321224,1300570,1320679,1352408,1342688,1344637,1341968,1345362,1343279,1367583,1336673,1348424,1382036,1391511,1384451,1402882,1407422,1417605,1424780,1429092,1438908,1444206,1449283,1452713,1457995,1459277,1459585,1461130,1472666,1466451,1299604","regionId":20815,"isYaRu":false,"shouldUnmountSearchPageInViewer":false,"videoGlobalContext":{"platform":"desktop","isPumpkin":false,"language":"tr","user_time":{"epoch":"1769500073","tz":"America/Louisville","to_iso":"2026-01-27T02:47:53-0500","__is_plain":1},"isHermione":false,"shouldStubImages":true,"enableVideoPreviewInHermione":false,"reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","isEmbedded":false,"shouldShowMainPageButtonInViewer":false,"shouldDisableWebp":false,"removeLinkPrefix":"/video","shouldUseHighresPreview":true,"shouldCutSnippetTitle":true,"shouldShowPlusBadge":true,"reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"1455699,1472350,1457620,1473742,1468855,1460717,1464561,1460214,1152684,1459323,6160,1383554,1469885,43962,1461712,1455766,1470221,1373786,1466296,1465943,1463531,708541,1467149,1452051,1466619,1470513,124072,89019,724556,724636,1471184,805351,1060666,151171,126351,1281084,287509,1447467,788004,1473595,1468028","queryText":"principle maths","reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"5327593941769499987","uid":"0","isChildAccount":false}},"deviceDetect":{"OSFamily":"Unknown","isTV":0,"x64":0,"GoogleToolBarVersion":"","MultiTouch":0,"BrowserBase":"","YandexBarVersion":"","isTablet":0,"YandexBar":0,"hasWebOmni":0,"isTouch":0,"hasYandexCamera":0,"isMobile":0,"DeviceKeyboard":"","device":"desktop","TurboAppPlatformVersion":"","historySupport":0,"BrowserShellVersion":"","DeviceVendor":"","isBrowser":0,"hasFlash":0,"MailRuSputnikVersion":"","isSameSiteSupported":0,"BrowserBaseVersion":"","BrowserVersionRaw":"","hasWebVert":0,"DeviceId":"","error":"","MailRuAgent":0,"ScreenWidth":0,"inAppBrowser":0,"hasHTML5":0,"isEmulator":0,"J2ME":0,"MailRuAgentVersion":"","BrowserEngineVersionRaw":"537.36","isRobot":1,"__is_plain":1,"BrowserEngineVersion":"0537.0036","BrowserName":"Unknown","DeviceModel":"","BrowserEngine":"WebKit","DeviceName":"","OSVersionRaw":"","OSName":"","GoogleToolBar":0,"ScreenSize":"","isTurboApp":0,"MailRuSputnik":0,"YaBuildName":"","isWAP":0,"PreferMobile":0,"DesktopMode":0,"BrowserVersion":"","BitsPerPixel":0,"BrowserShell":"","YaGUI":"","isBeta":0,"OSVersion":"","ScreenHeight":0},"nonce":"3173769380691559457324","disableDoc2DocHostLink":false,"shouldHideChannelLink":false,"disableChannelLink":false,"userConnectionRtt":159,"animated":false,"isDoc2DocScrollFix":true,"smartDesktopLayout":true,"enableVIImprovements":false,"enableLazyPoster":false,"isAdvDisabled":false,"shouldShowVideoPlaylistPane":false,"isVideoTranslationSupported":false,"isSummaryDisabled":false,"isSummaryOnlineEnabled":true,"shouldRenderBroSummaryApiContainer":false,"shouldDropLogs":false,"shouldUseBeacon":false,"hasAdBlock":false,"rknWarnHosts":[""],"relatedAdvRootMargin":400,"postInstreamScreenDuration":2000,"minVideoDurationForInstream":120,"isInstreamEnabledInTesting":false,"isFinalHeartbeatDisabledInNoJsApi":true,"wildcard":false,"isAdvUnderPlayerRedesign":false,"disableEarlyEventsInD2d":false,"isDoc2DocInstantLoadEnabled":true,"disableEarlyEventsUnsubscribe":false,"showDebugRelatedURL":false,"shouldUseBetaErrorLogging":false,"shouldShowMetaUnderPlayer":false,"isVideoViewerMetaTitleHidden":false,"isStickyPlayerDisabled":false,"headerNoFavicon":false,"headerBranded":false,"shouldCensorSensitiveContent":false,"isAdvUnderPlayerTransparent":false,"isDoc2DocGridLayoutEnabled":false,"detailsRedesignEnabled":false,"detailsRedesignV2Enabled":false,"detailsRedesignV3Enabled":false,"isIslandsDisabled":true,"isD2DEmptyLoadFixDisabled":false,"isRoundedPlayerEnabled":false,"isSettingsToolbarRedesign":true,"isDoc2DocEmptyRetryEnabled":false,"isAdvUnderPlayerWithBackdrop":false,"isTouchAdvWithBackdrop":false,"isDoc2DocErrorScreenEnabled":true,"isDoc2DocFeedbackKebabEnabled":true,"isCommentsEnabled":false,"isCommentsCountOnSnippetsEnabled":false,"criticalErrorCodes":["101","102","103","100","151","152","153","154","155","156","150"],"isVideoMainButtonInitiallyCollapsed":false,"isAdvUnderPlayerWithInnerPadding":false,"isKebabAdvancedActionsEnabled":false,"isKebabOnTouchVideoSearchEnabled":false,"isAdvVideoListLikeUnderPlayer":false,"isSummaryInMetaButtons":false,"isSummaryInMetaButtonsDesktop":false,"isMetaCommentsButtonEnabled":false,"preventAdvHideOnEmpty":false},"shouldShowAdvId":false,"isAdultQuery":false,"isSensitivePage":false,"showSensitive":false,"shouldReplaceHref":false},"user":{"tld":"com.tr","isEuDomain":false,"login":"","passportId":"","isLoggedIn":false,"locationName":"Columbus","isFamily":false,"yandexuid":"5327593941769499987","ugcCsrfToken":"","family":1,"isChild":false},"config":{"skinMode":"system","skin":"light","version":"releases-frontend-video-v1.1754.0__7d090cb2d4d9823803190509a95d03c049893005","isGridSupported":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"isSkinInitedOnClient":false},"counters":{"params":{"useBeacon":false,"clickHost":"twitter.yandex.com.tr/clck","pid":197},"dict":{"viewer":"2921","user":"538","info":"1275","sources":"1500","select":"775","close":"486","open":"842","source":"186","link":"513","click":"882","tech":"690","player":"1242","change":"719","summary":"3410","init":"1309","item":"22","button":"440","shown":"3780","copy":"1276","text":"232","load":"1724","fallback":"2010","channel":"1345","hide":"1656","serp":"471","pager":"405","down":"601","up":"600","footer":"295","more":"75","page":"143","loaded":"1007","grid":"3223","support":"2458","client":"2989","layout":"54","list":"436","duration":"2136","within":"3247","on":"10","off":"11","host":"3052","supported":"3761","enable":"2396","disable":"2395","full":"318","video":"231","translation":"347","distrib":"316","onboarding":"2045","filters":"618","lang":"1144","advanced":"255","apply":"2461","reset":"3236","short":"142","toggle":"237","snippet":"254","icon":"1167","abuse":"1436","submit":"297","wizard":"358","incut":"1073","extralinks":"3557","show":"487","feedback":"296","out":"3218","popup":"1544","scroll":"768","retry":"3545","region":"287","help":"177","settings":"1137","recommendations":"2671","home":"1319","soo":"65","youtube":"624","google":"66","bing":"568"}},"clips":{"items":{"15315419269073428777":{"videoId":"15315419269073428777","docid":"34-0-1-ZF9645409A6672697","description":"Pertemuan ke-3 Teori Bilangan yang berisikan materi tentang Notasi Jumlah (Sigma), Notasi Kali (Pi) dan juga Induksi Matematik...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3933039/f05fb3213c6ae9ec5d1c3d580d2277d7/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/7M-UQAEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"0","reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DV8gDDBPkRwc","linkTemplate":"/video/preview/15315419269073428777?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Principle Mathematics Induction","related_orig_text":"principle maths","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"principle maths\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=V8gDDBPkRwc\",\"src\":\"serp\",\"rvb\":\"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_gMAAv8FAQ0F_gEMBf8C9wAAAP__9Pv9Bf4A7gAF_w0AAAAMBfsCAgAAAPoH-wf7_gAADQb1AwQAAAAPA_7__QAAABoR_wD-AQAA_PgC_wL_AAAbEAP9_wAAAPgKB_v7_wAAAhABBwAAAAD_B_7__wAAACAALZ112zs4E0AJSE5QAiqEAhAAGvABYvwPAcsW6f8P6dEA4yLRAYEFC_8g_-EAy_UIAL8O2P_3FQYA5Pn0AAvv_QHNAxEAEPbr_zDyDwAS_wUAHBkgAP4EAwAs4_4AGPICAAj0_f_HCBn_8PEjAQnsCgEXIev_J-EU__Ai6gD--t_-_PEiAB0YGQQWHPsC-BMC_f8hHAADCfUA6PsGBP_18P_e8RYBDuTy_RYa9P32Bf0DDOnvAPkF9wAWDvoEJPDyBuv9AfsB8gD4GwPv_gMFIf_gCv4E9vj_9_vgBAEF9wH6It0NAe73EgQDCAgL8Qz4ARvsCvz0EQf_6g8H9wP3BAAW7-8FIAAtbidIOzgTQAlIYVACKnMQABpgIgEAJwM079cZMPD5-eXr2fMQ0kHj8f-85P_9AdLnARLazQw0AOTsL_60AAAAEvD8BDMAwWXx_d4T8R8KvNUPMwl_HEch4PMCFrTrDe78IiEI6gz4AO7ouAw-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-MEAAHxCAAAAQQAAMEIAAEDCAAAcQgAAbMIAAMDAAAAQQgAA8EEAAFhCAADAQAAAAMIAAIBCAACKwgAAqMEAAATCAAAQQQAAcEEAAETCAABAQAAAIEIAAARCAACgwQAAwMEAAAjCAABQwQAAoEEAAGDBAABQQQAAIEIAAGzCAABwwQAAOMIAAJjBAABAwAAAbEIAAPhBAAA8QgAAoMAAAFDBAAAQwiAAOBNACUh1UAEqjwIQABqAAgAAdD4AACS-AAA8PgAAcD0AAKC8AADgPAAAkr4AAA2_AAB8vgAA1j4AALg9AAAMvgAA6D0AAJg9AABEvgAA-L0AAIg9AAAwPQAAjj4AAOo-AAB_PwAAdL4AABw-AABQPQAAQDwAAHy-AACIvQAAyL0AAMg9AACOPgAAiD0AAJ6-AACgvAAAij4AAKC8AABAvAAAUD0AAM6-AADSvgAAdL4AALi9AACKvgAAQDwAAGy-AABcvgAAmr4AANg9AAD4vQAAiL0AAJ6-AACGvgAAqL0AAAw-AAD4PQAAjr4AAIg9AAA1PwAAdL4AABQ-AACCPgAAHL4AALg9AADYPQAAqL0gADgTQAlIfFABKo8CEAEagAIAAOA8AABQPQAAUL0AACG_AADYvQAA4LwAABQ-AADoPQAAED0AADQ-AABQvQAANL4AAIC7AAD4vQAAoDwAAIi9AAAQPQAACz8AANi9AACyPgAAUD0AAHA9AACIvQAAyL0AAKA8AABQPQAAoLwAAIA7AACgPAAAVD4AADC9AAC4PQAAED0AACS-AAD4vQAAcL0AAKg9AACAOwAAyL0AAFQ-AAAMPgAA-L0AAIC7AADYPQAAuL0AAEA8AAB_vwAAcD0AABy-AAAMPgAAUL0AAFA9AAAQPQAAQDwAACw-AABwPQAAoLwAAKi9AADgvAAAMD0AAFA9AAAQvQAAQLwAADA9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=V8gDDBPkRwc","parent-reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["15315419269073428777"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"1766500343147382522":{"videoId":"1766500343147382522","docid":"34-2-6-Z6E6EAFC246C142B1","description":"Basic principle of math | How to learn basic principle| Math | #maths Basic principle of math | How to learn basic principle| Math | #maths #basicmaths #principleofmath #mathformula...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1932622/d33046961d4a1edf3a2de47e5087831b/564x318_1"},"target":"_self","position":"1","reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DTPfjp94z9iI","linkTemplate":"/video/preview/1766500343147382522?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Basic principle of math | How to learn basic principle| Math | #maths","related_orig_text":"principle maths","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"principle maths\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=TPfjp94z9iI\",\"src\":\"serp\",\"rvb\":\"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_AP7BQDx-_36_QEBAQQAAAL5__4ACP_3_gMC_wD9AQoACQEAAAn_-QP6AAAA-vv4-gL-AAALDPsBBAAAABEEBfr4AAAAFAX_AP4BAAD89Qv8AgAAAAv_DPP_AAAADQj5AP__AAAGDQoJAAAAAAj-BAYAAAAAIAAtznfjOzgTQAlITlACKnMQABpg1xcAIyMS77_-J9zhCQcAAOMLsDTz-__b1gD59DbYF9XPwBz__xHgIO-0AAAAGfe_KBkA02Hc2OA9Ed3u3O8JCOZ_OQXq8Qng-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_AACAPwAAdEIAACDCAAAowgAAcMEAAHhCAAAsQgAAoMEAAGDBAAC4QQAA2MEAACTCAAAAQQAA0EEAADBBAABAwgAA8EEAAFBCAABAwQAAQEIAAFBBAABEwiAAOBNACUh1UAEqjwIQABqAAgAAUL0AAI6-AABMPgAAmL0AAKg9AACaPgAAML0AABu_AABsvgAAJD4AAI6-AAAQvQAA6L0AABA9AAAMvgAARL4AACQ-AACAOwAAFD4AAK4-AAB_PwAAQDwAAEQ-AAA8PgAAuL0AAJK-AABQPQAA2L0AAFA9AABsPgAAmD0AAFC9AAAsvgAAuL0AAIC7AACYvQAA6D0AAJi9AACqvgAAoDwAAIA7AABkvgAAgDsAAOA8AAA8vgAAiL0AAIg9AADIvQAABL4AADy-AADIvQAAUL0AAIo-AAC4PQAATL4AAEC8AAAtPwAAgLsAAAS-AAAMPgAAyL0AAEQ-AAAwPQAAoDwgADgTQAlIfFABKo8CEAEagAIAABy-AACIPQAAUL0AAC-_AADIvQAA4LwAAJI-AACIPQAA2D0AAKC8AAAkvgAAcL0AAGy-AAAQvQAAUL0AAFA9AACIPQAAyj4AACS-AADuPgAAUD0AAPg9AACivgAA-L0AAKi9AACIvQAAoDwAAIC7AAD4vQAAfD4AAHA9AAAkPgAAML0AAMi9AAAwvQAAUL0AADw-AABwvQAAhr4AAPg9AAAQPQAAyL0AAIC7AAAkPgAA2L0AAOC8AAB_vwAAiD0AAKi9AABwPQAAMD0AAEQ-AADovQAAmD0AAII-AAAcPgAAEL0AALi9AAAcPgAADD4AAIC7AADYvQAAoDwAAMg9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=TPfjp94z9iI","parent-reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["1766500343147382522"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"4181168480309113352":{"videoId":"4181168480309113352","docid":"34-9-14-Z0870564A824DD764","description":"Mathematical Induction ✔️ Topic Name: Introduction = 📢 🔥 Available (Kindergarten to 12th) all Video Subject wise Playlist...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3468182/5060bbb2c654010486b08c10b5a14976/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/BHf3awEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"2","reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DvAwL9YUKer4","linkTemplate":"/video/preview/4181168480309113352?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Principle of Mathematical Induction - Introduction | Class 11 Maths","related_orig_text":"principle maths","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"principle maths\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=vAwL9YUKer4\",\"src\":\"serp\",\"rvb\":\"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_E5wJggQkAYAEKyqLARABGniB9AMC_v8BAPQBAwUIBf0BDAD7-vYAAAAJ9Pz89wL_APf8CgsJAAAADQX7AwIAAAD2_vsI9P8BABL_7wcCAAAAEgUG-fgAAAAbEf8A_gEAAPT3BwIDAAAAEgoIAf8AAAABCgv5_v8AAAoZAQwAAAAABgYDCf8AAAAgAC3YMtQ7OBNACUhOUAIqhAIQABrwAX8jCgPS3PsAxgYAAOYOBwGnDR3_QyDfANrz9f-09sQAzREbAO3XH__iJeH_thoIANjLugEA2fUAGuPq_xXu_wD8EvsBWcb1AVz8-wH16PUAySMd_gftHAAn5vMAQSTTAPb9_PwU-L0BEP_SAyb7MQEPCBgFLfz2_-oEMgH37uX9ytrJ-wUZDwT96i_75wgoAffu4PzmDe_24gIGDAbN6AYH8Pz4FkLo_zsk_ALsJfEEpwL8A_Yb4_oXIyX-8gLk-OXvGvjV8_oAAPj7BP7xA_cC_QL_FMPkCR_6Af7sBP76BN74-Zry8wblFfwEAfby_SAALbb3DDs4E0AJSGFQAipzEAAaYB36AB_nNAjLCTX_4_j689XhDcQ-1gD_1eX_Eh3s5g4k3MUUAv_7ySfbqAAAABD34QgKANNyyvAIG_Hm8s-wCRYLf-c7JssMIuK19xze-DYxCd7aJQDq-6VgCgWkNC4dNCAALTibIjs4E0AJSG9QAiqvBhAMGqAGAAB0QgAAuMEAAJBCAAA8wgAAAMAAAATCAACAvwAAUMIAACjCAABQQQAAsEEAAABBAADowgAANMIAALhBAABwQQAAmMEAAMDAAAAkQgAASMIAADBCAACQwQAAgMEAAABCAACaQgAAPMIAAATCAABUwgAAgEEAAGBCAABAwgAAaEIAAADAAACgQQAAVMIAALjBAAAwwQAAHEIAALDBAADgQQAA-EEAAIBAAACAQAAA4EEAAFBBAACEwgAAjsIAAMBBAAB4QgAAyMEAAAAAAACAwgAAiMEAAExCAAAMQgAABEIAAK7CAADwQQAAOMIAADRCAABMQgAAEEEAAPDBAAA0wgAAcMEAAOhBAABcQgAA4MAAAMjBAADAQAAAMEIAAGBBAAA8wgAAjEIAALhBAAAIwgAAuEEAADDBAACQQQAAQMAAANjBAADgQAAAFEIAADRCAABAQQAAgL8AADDCAADQQQAAFEIAAKTCAAD4QQAAbEIAAMjBAAAswgAAZMIAACjCAAC4wQAA4EAAAKZCAACwwQAAEMEAAHRCAAAoQgAA_sIAANjBAACgQQAAQEEAAGBBAAAQwgAA-EEAAEBBAAAAwQAA2EEAABDBAACcQgAA-EEAAEBAAAD4QQAAVMIAAIjCAACgwAAAgsIAAGDBAAAAwAAAREIAAHRCAACAwQAAMMIAAODBAACowgAAoMEAAKDAAADYQQAAaEIAADDBAACIwQAAsEEAAEhCAAAcwgAAVMIAAFBBAABQQQAAoEAAANDBAAAgQQAAiMEAAEDBAABgwQAAQEEAAKDBAABgQQAAgL8AADxCAABwQQAAWEIAAMBAAAAsQgAA0sIAAAAAAAD8QgAAcMEAAEBCAACYQQAAQMEAAFDCAACAwQAAJEIAABBCAADwQQAAQEEAAHTCAAAgQQAAoMAAAABBAACwQQAAKEIAAHDBAABwwQAALEIAAABCAACAvwAAwEAAAFBBAABwwQAAHEIAAFTCAAB0wgAAikIAALjBAACAQAAA0MEAAIC_AAAQQgAAMMEAANBBAAAAwAAAhMIAAPhBAABswgAArsIgADgTQAlIdVABKo8CEAAagAIAAOi9AAAUvgAAnj4AAIC7AADYPQAAoDwAAES-AAA5vwAAir4AAMg9AACoPQAABL4AAMg9AADGPgAA4LwAANi9AACAuwAAoDwAAIo-AAA7PwAAfz8AAOi9AADoPQAAVL4AACy-AAAEvgAAqD0AAEC8AADoPQAATD4AAEQ-AABUvgAADL4AAMi9AAAEPgAAFD4AAPi9AADIvQAAmr4AAPi9AAAQvQAAHL4AAHQ-AAAkvgAADL4AAAy-AAC6PgAAVL4AADA9AAAXvwAA8r4AAOA8AACKPgAAmj4AADS-AACYPQAALz8AANg9AAAwPQAAUD0AAEC8AACYPQAAqD0AALg9IAA4E0AJSHxQASqPAhABGoACAAAsvgAA4LwAAEA8AAAvvwAA-L0AAOi9AACuPgAAHL4AAIC7AAAEPgAAcL0AAGy-AACgvAAAJL4AALg9AACAuwAAND4AAPo-AACIPQAA8j4AABA9AAB0PgAAZL4AAHC9AACAOwAAoLwAAOg9AABwPQAAmL0AAEQ-AAAQPQAAHD4AANi9AACevgAAEL0AAEA8AABkPgAA6D0AAI6-AAAcPgAAoDwAABA9AACIvQAAND4AAFC9AACAOwAAf78AADS-AABsvgAAmD0AAKg9AABQPQAAEL0AAHC9AABcPgAAyD0AABC9AAAwPQAAoLwAAKC8AAAEPgAAHD4AAPg9AADgvCAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=vAwL9YUKer4","parent-reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["4181168480309113352"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"2816572720"},"7536839533290034369":{"videoId":"7536839533290034369","docid":"34-5-7-ZB16540EEDBA04BFA","description":"induction class 11 maths chapter 4 class 11 maths principle of mathematical induction principle of mathematical induction class 11 full chapter principle of mathematical induction one shot video...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1030135/9b274083de0b6b373602d0b2eb5cfbe3/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/7pz8EgIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"3","reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D4v-uGOhHDRY","linkTemplate":"/video/preview/7536839533290034369?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Principle Of Mathematical Induction | Class 11 Maths | Chapter 4 | Full Chapter | One Shot Video","related_orig_text":"principle maths","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"principle maths\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=4v-uGOhHDRY\",\"src\":\"serp\",\"rvb\":\"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_Awv9AwD7_gL_AwT-AQAD__j4_v4A9O8A_fgC_wDuAwUKBQAAAAIH_wL9AAAAAfYBBPb9AQAJ_PgFAwAAAAoNEQL6AAAAGhH_AP4BAAD__An7AwAAAAwBCgUAAAAACwgD-v7_AAD6EQoMAAAAAP8H_v__AAAAIAAtQrHbOzgTQAlITlACKoQCEAAa8AF_DfkB1fv5_-vvzAHLQOsBmAT0ABYJ5gDJBDgB1g29Ae0Z9wDA7-n_FvAQAd78HQBF9-MABNknADje_AANB_EA6x0ZAEbf8AFQE_MA8QTb_84FG_8T5g7_If_gARz_2___Chr9Fxvm_v341f0z2xEC9-chBS_0CQL_4Ar62CLpAOT22v0FFw0E8vEH99gRCQXx8fP-_xoU__EK6wT7v9sBEOEk_Qgs1_4P3-0M4tn5_-fgEfj2_AH66QwjA_v0D_4c4R0B2w3o_PYj-wkLBg_-8QIR9wjR-AEc-gH--OIQ_PHb-gnx6Qv_1gv9Eur-7AQgAC31iho7OBNACUhhUAIqzwcQABrAB7vu1b7bGSa8gvFCO9K6p724QCI9VWWEvPvnOb5iwkM8-63dvEtn8TzHkgM7stlRvQRUOL6WoaK7BEi-vP29dD6SVEu9A7HsPHoXL74IPDA9KZ_UvDHqKr66cNY6QRIRvTkqJz5gsHo7OeoPPLJ1mj2ly9G8LegBvIVgdb0bFl69gX46vA2MhL47m2S9nT3huht_hzzXN5u9rqliu-MgzD3gPvw8XpHrOtdoGT2cHzW9DJH0OxGsBTxWWxg8vCrrvAGFOj4b_3S8-O3Wu0q4i72tMtO8R1ACvNzHQL2zOM671tmavPcm4TxdhpQ98LXxvBSu5z2kGIC9Ux5-u6jIIb4CfBw96OltPOSG_z05dvU8jG-ePPhYNb2SRVU9AK4EvXPY_TxJ9oQ55ccpvEs_YbxHj1871r4NOjQFvD2Gg048G7IJPEKPPT0Z54q87EBnPLQ4xjtFHSy9XlSBvKjsqjyhXhU9_R3Au6ym0LyA4Yu8gemTu1vlTj3jKk25D7guPMJkvz1Ihww95xHpu3AK6zxF77m99kfluVi_rr0yVTC8MaEZvEusELxnXN27_ugju7QgBD4YCAK92CA3umoxiL32H169aXQDuTVLWbvC05Y7zEAnO9qN3zup11I8Yj5qvPxlgb2OoVI83-tavHMHWz0DU8c9cgzBOb49_jxHWqW9nbDQuxt0yD1AN089VwZVu7HVijyNoTW7RplLu9rHKj0hSzW9gLa4u0pKFb0xWsy9siNVtyY6Bj0AzsW6noqGu3wr0jzqOKO8O_3BOYEKQj0P1RA8Yc0zuOvUi7yTCjk95TyWOZRhAb1YuLy75QPDORSdi72JeuG9xidwOZ4Sa73yYyc8jR9AOZ37xjx14Q08ZBKYucwgw73UDQS-CFOFOepZ9bwReeY8C-zbOLDzsD0T3307EyyftygxhDuDfBi8OBZ4OealCztTuzW9fdzCOBSjqD1s6v47OuggOUO5Q71yTUG9cxB8N472aT15CI49il2eOK0yw73uteA9UPZCOLGFxTxGH5g8gJQ_udFXVT2SZqA72SmIuLOKiD0gjyq8WyOFN_Wisb2obP28Z7CauBYggDwIVMG7JeR6tvWbbDtwthS947r3NgMRmLzPCqE91BPJN5JdGT7ZT1C9rMI_uYxxFL3be0K9xfxnuNPLPj3nOeK9rWpaOECQgr2mvHE9oH71tlyooT19xJS9uKGWNyL_7D01KQU-835buEU4rL251II98sgPuLQWwL1UNLs9PF-yONjgc73M_HS9zBaNuCAAOBNACUhtUAEqcxAAGmARAgAcCTgXzwok9frsAAj0vf-0Mvfi__To_-8N3dsQBsmvGQb_8dgC5a0AAAAO598QMADJb-bz8D_7_d3lxfcKCX_yKBTR5ir67PQX891XVgPQ9CAA3PqrRA3dwjwrJSAgAC08Ayk7OBNACUhvUAIqrwYQDBqgBgAAWEIAAEDBAACUQgAAMEEAAPDBAABwQQAAcEEAAJTCAABMwgAAsEEAAIBAAAD4QQAARMIAAGTCAADYQQAAwEEAAADAAABAQAAAIMEAAFjCAACIQQAAFMIAAAjCAACAQQAAHEIAABjCAAAEwgAAIMEAACBCAABAQgAAKMIAACBCAAAAwAAAgEIAAKDBAADgQQAAEMIAAJpCAADgQAAAcMEAABBBAAAAAAAABEIAAADAAABQwgAAgMEAAPjBAAD4wQAAGEIAACDCAADgwAAA0MEAAKBAAAAsQgAAgL8AAPhBAAAEwgAAAAAAAGDBAABUQgAAKEIAAIC_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-MEAAKDBAADYQQAAoEEAANBBAAAAQAAAcEEAALbCAAAkQgAAIMIAACzCIAA4E0AJSHVQASqPAhAAGoACAACgvAAAED0AAKo-AACgPAAAdD4AAAw-AACKvgAAIb8AAIK-AABcPgAAQLwAANi9AABUPgAAmj4AAOi9AABsvgAAXD4AAOA8AACePgAA8j4AAH8_AADIPQAAJD4AAOg9AADIPQAAuL0AABA9AACgvAAAXD4AAJY-AAAQPQAAur4AAKg9AAD4PQAAuL0AAEA8AACgPAAAhr4AANq-AAC2vgAABL4AADw-AAAkPgAAPL4AADS-AAAUvgAApj4AAHA9AABQPQAA0r4AAOi9AAC4vQAAbD4AAOI-AAA0vgAAgDsAAE0_AAAwPQAAoLwAAIg9AADYvQAAyL0AAPg9AABcviAAOBNACUh8UAEqjwIQARqAAgAArr4AAEC8AACgvAAAK78AAFA9AADovQAAmj4AAKi9AABQvQAAmD0AADC9AADovQAAyL0AAHS-AACIPQAA4LwAABA9AAAZPwAAqD0AAL4-AABwPQAAFD4AABy-AACAOwAAcD0AADA9AACgPAAA6D0AAKC8AACAOwAAgLsAAAQ-AACgvAAAZL4AAOA8AAAUvgAAbD4AAKC8AACGvgAAVD4AAIg9AAD4vQAAML0AANg9AABQPQAAPL4AAH-_AAAMvgAAFL4AAAQ-AADYPQAAQLwAAMi9AABwvQAAVD4AAHA9AAAQvQAA4DwAADC9AABwPQAA6D0AAKA8AACYPQAAoDwgADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=4v-uGOhHDRY","parent-reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["7536839533290034369"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"3650421302"},"16729247296527920374":{"videoId":"16729247296527920374","docid":"34-9-4-ZD9F4793C59452E5A","description":"https://www.david-cortese.com Master core math principles fast, step-by-step clarity in few minutes! This concise educational video breaks down fundamental concepts like numbers, operations...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1012382/78ed7d6c1ac7ad11fffd2b701b6e679e/564x318_1"},"target":"_self","position":"5","reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DZEraKwXx3qw","linkTemplate":"/video/preview/16729247296527920374?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Fundamental principles of mathematics","related_orig_text":"principle maths","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"principle maths\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=ZEraKwXx3qw\",\"src\":\"serp\",\"rvb\":\"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_AUA-wMDDgoI-wL6A_8B-f39APYA9fQDAv8A-PwJCgkAAAD_DQAJ-wAAAPj6-w___wAAEf_wBwIAAAASAAUE_QAAABoQ_wD-AQAA_PgC_wL_AAAFDAgAAAAAAPAEBPz-_wAABg0KCQAAAAD_-f4KAAAAACAALSvk3js4E0AJSE5QAipzEAAaYP0OABodFfy6Bynn3Obw9-_oId8mBuAA4uIA9_D73gv7xtHsCf8VyxbyvwAAABcB7PkhAM1S-_DRMhbzB98B_ArvfwocAAo54_HU5fTx_hcS5rviGgDg8ugmCge5NAwkOyAALZPKSzs4E0AJSG9QAiqvBhAMGqAGAACQQQAAMEEAAMBAAADQQQAAQEAAAHRCAAAMwgAAqMEAABjCAACQwgAAeEIAAIC_AACgwAAAiEEAACxCAABgQQAAMMEAAMBAAADQQQAAgEEAANhBAAD4wQAAoMAAABhCAAA4wgAAqMEAABDBAADowQAAiEIAABRCAADAQAAAwEEAAHxCAACAwQAAMMEAAPhBAABQwgAACEIAAMBAAAAwQQAA6EEAAOhBAAAgwQAAcEEAAIC_AAAAQAAAgEEAAERCAAAMQgAAjkIAADxCAACQwQAAUMEAAODBAAAAAAAAAAAAADjCAADoQQAAwEEAAL5CAABcQgAAdMIAAGBBAAAQwQAAEEEAAMDBAADAwAAAhsIAAABBAAA8wgAAKEIAAGhCAAC-wgAAsEEAACBBAAC4wQAAHMIAAMDBAAAgwQAAlsIAAADAAAA0QgAATEIAACDCAADgwAAA_kIAABBCAABgQQAAGEIAAADBAAAAwAAAmEEAALjCAADgQAAADEIAABDCAABAwQAApkIAAILCAADQwQAAIMEAANBBAAC4wQAA4EAAAADBAABwQgAA4EAAAIC_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-AAAVvwAAZL4AAIA7AABAPAAAoDwAAIi9AABsPgAA2L0AAPi9AAB8PgAAcD0AAAw-AADCPgAAfz8AAOi9AACePgAAEL0AAI6-AAC-vgAAmL0AAHS-AADgPAAAqD0AAEw-AADovQAAqD0AAPg9AABsPgAAqD0AABA9AAAsvgAA0r4AAAy-AAB0vgAADL4AABA9AAAcvgAAPL4AAAy-AACIPQAAVL4AACy-AACqvgAARL4AANi9AAA8PgAAFD4AAFS-AADgvAAANT8AAIg9AACgPAAAgj4AAOA8AAAEPgAAMD0AAIC7IAA4E0AJSHxQASqPAhABGoACAAAwvQAABD4AAKC8AAATvwAAVL4AAAS-AABsPgAADD4AAGw-AABAPAAAcD0AACy-AACIPQAAdL4AABA9AACAOwAAyD0AABE_AACYvQAAuj4AABA9AABAPAAA-L0AAAS-AAAQPQAA6D0AAIA7AADIPQAAQDwAABA9AACgvAAA6D0AABC9AAAcvgAA4DwAAOC8AAAkPgAARD4AAEy-AAAkPgAAXD4AADy-AABAvAAAED0AAKA8AAAwvQAAf78AAEC8AACmvgAAQDwAAKA8AAAUPgAAgDsAAKi9AABcPgAAuD0AALi9AAAwvQAAML0AAOA8AACIPQAAJL4AAOC8AADYPSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=ZEraKwXx3qw","parent-reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["16729247296527920374"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"2479714228423395784":{"videoId":"2479714228423395784","docid":"34-7-10-Z1028B1DDB93958E1","description":"In this video, we’ll explore the Counting Principle, an essential concept in probability that helps you determine the total number of possible outcomes in a multi-step event. Learn how to apply...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/402492/6beacb011839c83ae45dab149359f140/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/IPIU2gAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"6","reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DLOxhfwoGCfc","linkTemplate":"/video/preview/2479714228423395784?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Understanding the Counting Principle | Math Made Easy","related_orig_text":"principle maths","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"principle maths\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=LOxhfwoGCfc\",\"src\":\"serp\",\"rvb\":\"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-AAAB_wDy_Qr-DQP-AQ_9BgL3AQAA___z-_wF_gD5CQYNAQEAAAj_-_f5AAAA8gPr-vn_AAANBvUDBAAAABL1AwgCAAAAGxH_AP4BAADz5wQJA_8AAAkFD_z_AAAACQIBE_8AAAAQDgoCAQAAAAP4_gMAAAAAIAAt9JjQOzgTQAlITlACKoQCEAAa8AFmAfv_3Pv6_-fo6gDTN-4BgRXw_yIP_wC6-xYAytLwAAQb5gDS_Q4BAwAf_-L7CgBHAeT_Dc_4_zL5EP8fBg0A8wMTADDg_QAU9xABx_7T_vUbCP8g2hAA_tHkAAT-9QDmJQD9zQDgAOMK3QEr4Q8CCwckAxbfIATz7AoB8Q8BBP7kzP8H4wEB7u7_Ad8WGgH9-_gEDP8R_fANBfv89-n9_OcD-wsP2QAR6w4M5vQN-gLxAPcj-_v77iULAesJDwQO-RgI8Of0-gEHBPYq2fIF_vEBC__q-_kD-P4CDdT69Nv5BP70F_f18ewKDugE_wIgAC1R9DU7OBNACUhhUAIqcxAAGmAOAQD59Ujc-vcz6_r85hsQ6O_aOuMN__S-_w4W2wf--cmc6-H_D88e7aUAAAAfGt8HSQDxdeHUsD7wAxOe0_8WG3_5Gkrs6gHu3NTh_NcQOfQKCTQAAN67Fyngzk0jJjEgAC3_syI7OBNACUhvUAIqrwYQDBqgBgAAQEAAAARCAABAQgAAeMIAACBBAAA4QgAAEEIAAEBAAAAQQQAAiMEAAChCAAAswgAA-MEAAAxCAABAwAAADMIAAHhCAAAQQQAAZEIAALjBAAAAwQAAuMEAAODBAACQQgAAgMAAAGBBAAAwwgAAlMIAAIC_AAAAAAAAmEEAAIhBAABkwgAAgMAAABjCAABwwQAABEIAAPJCAAAAQAAAhEIAAIDBAACwwQAAIEIAAATCAACwQQAAlMIAAIC_AAAgQgAAhEIAAHBBAADoQQAAAMEAALDBAADgQQAAQMEAAABBAAAEwgAAMMIAAPDBAADIQQAAQEIAACTCAAC2wgAAEMIAAKBAAAAEwgAAIEEAAAzCAACwQQAAEMEAADBBAABMQgAAisIAANjBAAAEwgAAPMIAAEjCAACSwgAAwMAAAAAAAADIwQAA_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-MEAAIA_IAA4E0AJSHVQASqPAhAAGoACAABwPQAAuL0AADw-AAAsPgAABL4AADA9AAAQPQAA-r4AAJ6-AAAMPgAAXL4AAAQ-AACIvQAARD4AAKi9AACovQAAgLsAAEA8AAAQPQAACT8AAH8_AADgPAAAXD4AAJg9AAA8vgAAmL0AAIi9AAAsvgAAVD4AAGQ-AADYPQAANL4AADS-AAAQPQAAJD4AAKA8AABAPAAABL4AAJ6-AACIvQAADL4AAI6-AADYPQAAJL4AAKi9AACYvQAAUD0AAFy-AAAQPQAAhr4AADy-AABQvQAADD4AAIg9AABsvgAAgLsAADU_AACIvQAAuL0AAAQ-AAAkvgAAHD4AACw-AACYvSAAOBNACUh8UAEqjwIQARqAAgAAuL0AABA9AABwvQAAO78AAJi9AACYvQAAfD4AAIA7AABwPQAAMD0AADC9AACIvQAAVL4AACy-AACgPAAAQLwAAEC8AAABPwAAuL0AAOI-AACYvQAAUL0AAHy-AAAEvgAAUL0AAOA8AABwvQAAML0AAIA7AABcPgAAQDwAANg9AACgvAAABL4AABA9AACAuwAA6D0AAIC7AABUvgAARD4AAAw-AADovQAAUL0AADQ-AABcvgAAgLsAAH-_AAAwvQAA6L0AABA9AAAQPQAA4DwAAIC7AACIvQAAbD4AAJg9AAAQvQAA-L0AAEA8AABQPQAAoDwAAIC7AADgvAAAyD0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=LOxhfwoGCfc","parent-reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["2479714228423395784"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"3891394887"},"13124734774382835020":{"videoId":"13124734774382835020","docid":"34-1-2-Z13A5E0CC0EEA6EF2","description":"\"Video Pdf link: https://drive.google.com/file/d/1LSBa... Download the Android app: https://play.google.com/store/apps/de... Ask doubts: https://www.learnohub.com/ask-questio... Online Test...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/993244/72a51eddedb220347b5ffed3d0228219/564x318_1"},"target":"_self","position":"7","reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DNniDnLF7JVg","linkTemplate":"/video/preview/13124734774382835020?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Principle of Mathematical Induction Class 11 Maths JEE | Previous Year Questions PYQs' CBSE","related_orig_text":"principle maths","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"principle maths\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=NniDnLF7JVg\",\"src\":\"serp\",\"rvb\":\"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_wgBAAEA9fgGCQ4G_AELAO8B9v__APUF9f31Av8A9wETAQEAAAANBfsDAgAAAP349wL7_gAABQLtBgIAAAAWDgj-9QAAABUG_wD-AQAA8fIBAfYCAAESCggB_wAAAP7__fsCAAAA_hQQAQAAAAAOBgIDAAAAACAALUrE1Ds4E0AJSE5QAipzEAAaYAoTAB0PFhe-FDDYy_nc__XgIN8M7wf_-Of_GPXm1RDq3rkO9v8CxQ7-tAAAAB4D4R04ALpl8Oq-MxvWEcv47wEjf9ci9PEKHMrGGvrGHSM8CwcDJgDg8eoRBPzbPPkMPyAALTHoNzs4E0AJSG9QAiqvBhAMGqAGAACAwQAAQEEAADRCAACAwQAAEEEAAKDAAACQQQAAAMIAADzCAAAwQQAA-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_AACAwgAAhkIAAHBCAACgQQAAVMIAABzCAABAwgAAQMEAADzCAAAAwgAArEIAABRCAAAQwQAAAEEAAFBBAACAQAAAjsIAADBBAAAgQQAAwMAAAOBAAABQQQAAEMIAAOjBAACAvwAAwEAAAKBAAACQQQAAgEEAAHDBAACQwQAAkEEAACBBAABAwAAAVMIAABzCAABwQgAAyMEAAEhCAACgwQAAyMEAALBBAADgwQAAQEIAAKBBAABYQgAAgEEAAMbCAACAQAAAQMEAAABCAADgwAAA2EEAAJbCAAAowgAAhkIAAHRCAADQQQAA6MEAAKDBAACAQQAAlEIAAABAAACOwgAADEIAAETCAADAQQAASMIAAJhBAABAQQAAQMAAAKhBAAAAQAAAUMIAAPBBAADUwgAAKMIgADgTQAlIdVABKo8CEAAagAIAAOC8AAC4vQAArj4AAKA8AACgPAAAFD4AACS-AAAbvwAAVL4AALg9AACoPQAAUD0AALg9AACmPgAA6L0AAAS-AACAOwAAQDwAAKg9AAAHPwAAfz8AALi9AABwPQAAEL0AAKA8AAAMvgAAMD0AABC9AAAEPgAAJD4AALg9AADYPQAAcL0AAES-AACgvAAAgLsAALg9AACAuwAAjr4AAIi9AADovQAAgDsAAOg9AAA0vgAAPL4AAFC9AAC-PgAAXL4AAIC7AADmvgAAXL4AACw-AACqPgAABD4AAIa-AABAPAAAIT8AAOg9AAB0PgAA4DwAAIC7AACgvAAAqD0AAJg9IAA4E0AJSHxQASqPAhABGoACAAAUvgAAgDsAAJg9AAArvwAABL4AADC9AABwPQAAiD0AAMi9AADoPQAA2L0AAGy-AABUvgAAbL4AAKA8AAAQPQAA2D0AACM_AADoPQAAsj4AABw-AADIPQAAJL4AAMi9AAAwvQAAqD0AAHC9AABwPQAAqL0AABw-AACgPAAAFD4AAJg9AACGvgAA4DwAAEC8AAA0PgAA-D0AAI6-AABQPQAABD4AABA9AABQvQAAML0AAEC8AAAQPQAAf78AABS-AAAQvQAAEL0AAAQ-AAAwvQAAcL0AAEC8AACiPgAAUD0AAIA7AACoPQAAEL0AAAQ-AAC4PQAAgDsAAKA8AACoPSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=NniDnLF7JVg","parent-reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["13124734774382835020"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"9292842312659087400":{"videoId":"9292842312659087400","docid":"34-8-0-Z68EF4F8628A2F3CB","description":"Class XI - Mathematics Unit 2 - Algebra Chapter 4 - Principle of Mathematical Induction Introduction and Ex. 4.1 This Channel initiated by Dr. D. R. Vij (former Professor of Physics, Kurukshetra...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3131887/6c5877cea89e7c295536c14bd9caa22c/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/sy8wCwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"8","reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DTKuPSintOSI","linkTemplate":"/video/preview/9292842312659087400?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"XI Maths | Principle of Mathematical Induction | Introduction and Ex. 4.1 by Divya Ma'am","related_orig_text":"principle maths","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"principle maths\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=TKuPSintOSI\",\"src\":\"serp\",\"rvb\":\"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_Awv9AwDx-___CAL_AAIMAP_3__8A___0-_0F_gDuAAX_DQAAAAUAAAEEAAAA9v77CPT_AQAPAfj8BAAAABEI-P33AAAAFwsM__4BAAAC9wP4AgAAAAwNDvcAAAAAAAQD9_z_AAD-FBABAAAAAAAAAgYAAAAAIAAtQrHbOzgTQAlITlACKoQCEAAa8AF_Gw8C7AzvAQcE8ADU-gMBvBYIABXy5gClEeUAs_brAAkj-wDe6-gBKAMk__Ed9wAy-NX__-oGACHfCwAUChsA4PUIACj5AwAdCwoA6Aj8__0Y-v8P5BcAEBP7APUJ9AL6ECL-6iH2ARHN8AEj8Qr9CgYjAwD-9_nW6wIBzAX4Af7kzv_wAv4DHuXh_fYNDP319iYD8wwQ_-7mCwE09ugBDN8K_f0C6wb83vgD6O37-A7eCwYBBAYCGPscBeQe6v8Z9wv_1Az3AwAZEAEW5f8B2ivyBQjp_f74AQ4LCeYJ_PvZ__399Q7w8AD5Dwnw-PggAC0mjjo7OBNACUhhUAIqcxAAGmAm-gAlNxvtyCgi1u8C0izw5AO7S9P1_-DX__j309wN6NGu-Df_DNsA16QAAAA57vAlIwDJfwLsxUQb4hPhub8-D2IHOCjH4Cf1qfnrBfMbTA_sAiIA-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-AAAkvgAAFb8AAI6-AADoPQAAoLwAABC9AADgPAAAoDwAACS-AAAsvgAA4LwAABA9AACaPgAAGz8AAH8_AAAMvgAAjj4AAFA9AAAcvgAA4DwAABC9AACYPQAA2L0AABQ-AAAsPgAAPL4AAPi9AAAsPgAAuD0AACQ-AABAPAAArr4AAP6-AACqvgAAmL0AACS-AACIvQAAbL4AALi9AACCvgAAkj4AAOi9AADYvQAALb8AAK6-AABwPQAAZD4AAN4-AADovQAAQLwAAB0_AAC4PQAABD4AABQ-AAAQvQAAML0AAEA8AAAwvSAAOBNACUh8UAEqjwIQARqAAgAAjr4AAOC8AACoPQAAR78AAJi9AABAPAAAtj4AADC9AAAwvQAA2D0AAKA8AAC4vQAAUL0AADC9AAAUPgAAgDsAABw-AAAFPwAAUD0AAO4-AAAUvgAA6D0AADS-AAA0vgAAQDwAAKi9AAC4PQAAgDsAAKi9AAC4PQAAQDwAAPg9AACgvAAATL4AAEQ-AAAwvQAAMD0AAII-AABcvgAAqD0AAIg9AADgvAAAoLwAAIg9AAAsvgAADL4AAH-_AACAuwAAuL0AAPg9AABUPgAAyD0AAMg9AACYPQAAuD0AAIg9AABAvAAAgDsAABA9AAAcvgAABD4AAOA8AAC4PQAAqD0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=TKuPSintOSI","parent-reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["9292842312659087400"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"14117449247433690846":{"videoId":"14117449247433690846","docid":"34-8-6-ZEE4887666F3E061C","description":"Discrete Mathematics in English | Lecture - 2 | Principle of Mathematical Induction | By GP Sir Discrete Mathematics in English | Discrete Mathematics By GP Sir | Examples | Definition With...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/760430/d4e85171d597ab39c3ee89ed17ffefe0/564x318_1"},"target":"_self","position":"9","reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DCOHSSvyb0aA","linkTemplate":"/video/preview/14117449247433690846?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Principle of Mathematical Induction | Discrete Mathematics in English By GP Sir","related_orig_text":"principle maths","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"principle maths\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=COHSSvyb0aA\",\"src\":\"serp\",\"rvb\":\"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_E5wJggQkAYAEKyqLARABGniB-wQBAv4DAPUBAwUHBf0BBAAAAvj__gD___T7_QX-AO4ABf8NAAAA_gf0B_wAAAD2_vsI9P8BAA0A_QP7AAAAGQL9APgAAAAaEf8A_gEAAP_vBQED_wAAEQkIAf8AAAD8CAEB_P8AAAoYAQwAAAAABgYDCf8AAAAgAC2ddds7OBNACUhOUAIqcxAAGmDrEAAoGAr6tSw45M_5z_j_-w_RBOrv_9_W__zx59YB-tfT8Rv_BtL_6bcAAAAK6_IRKQDJYtrUxSke7QjD-eYwE3_yGAHqNQHtow8T4QgsPv3u4QoA7-7KGBH1xzj_Ey4gAC3g_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_AAAAQQAAwEAAAGBBAACgwQAAGEIAADBBAAAoQgAA-EEAACBCAABAwQAAYEEAACBCAAAgQgAAgMEAAJLCAAAUQgAAPEIAAEjCAAAEQgAAAEAAABDBAABAQQAAAMAAAHBCAADgwQAAIEIAAMhBAACMwgAAIEEAAJBBAADgwQAAYEEAAKBBAAAYwgAAkMEAAJpCAAA4QgAAYMEAAAhCAAAAwgAAoMAAAPBBAAC4wQAAFMIAAFBBAACAwQAAJEIAAHBBAACwQQAAQMAAAOBBAABwQQAAEMEAAMjBAABAwAAAFMIAANDBIAA4E0AJSHVQASqPAhAAGoACAADIvQAAPL4AADw-AACIvQAA2L0AABE_AACYvQAAQ78AADS-AAD4PQAAgDsAADy-AADIPQAAHD4AAJi9AABMvgAAFD4AADC9AACCPgAARz8AAH8_AAB8vgAAtj4AABC9AACAuwAAPL4AAEw-AAAwPQAAQLwAAOY-AACSPgAAwr4AAKA8AACSPgAAiD0AABQ-AAAwvQAAPL4AABW_AACCvgAAkr4AAIa-AACKPgAALL4AAOK-AAAsvgAA1j4AAFS-AACevgAAHb8AAPq-AAAcvgAAvj4AAIY-AAC4vQAAiD0AAHs_AAAcPgAATD4AAEQ-AABwPQAAUD0AANg9AAC4PSAAOBNACUh8UAEqjwIQARqAAgAA6L0AAFA9AADYvQAALb8AALi9AAAQvQAABD4AABC9AABAvAAAiD0AAJi9AAAsvgAA4DwAABS-AAAUPgAAcL0AAAw-AAAJPwAAiL0AAOo-AACgvAAAcD0AANi9AAAcvgAAqD0AAOA8AACAuwAAED0AAPi9AACYPQAAgDsAAKg9AAAwPQAAmL0AAHA9AAD4vQAAqD0AACw-AABUvgAAoDwAAOA8AACIvQAAoDwAAFA9AAAMvgAAmL0AAH-_AACAuwAAor4AALg9AAAQPQAAcD0AADC9AAAUPgAAEL0AAHA9AACgvAAAcD0AAIg9AADgPAAAmD0AAEA8AAAUPgAAMD0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=COHSSvyb0aA","parent-reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["14117449247433690846"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"9493068173905662060":{"videoId":"9493068173905662060","docid":"34-8-12-Z9DB033C90C530825","description":"The Fundamental Counting Principle Math 30-2 Permutations Lesson 1 Learn how to master the Fundamental Counting Principle — an essential concept in probability and combinatorics! This video...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3184263/90debd8bfcf8f6772e83e4f63165055d/564x318_1"},"target":"_self","position":"10","reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D0fRGdcfj0Wg","linkTemplate":"/video/preview/9493068173905662060?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"The Fundamental Counting Principle Math 30-2 Permutations Lesson 1","related_orig_text":"principle maths","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"principle maths\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=0fRGdcfj0Wg\",\"src\":\"serp\",\"rvb\":\"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_PsC_gD4_vkEDgX9AQQAAAL4__4A7_j9Bv8BAAAB_Q8J_wEAABID9fUDAAAA_QHyCAL-AAAT_-8IAgAAAAfvAgQBAAAAHBL_AP4BAAD-7gUBA_8AABL4DA0AAAAADA0Q-QAAAAAKGgEMAAAAAAgGCgP_AAAAIAAtjk7LOzgTQAlITlACKnMQABpgCA8ALx0gBM39Luzk_Of4B9gq3i_j7v_q7AD4AP3rFQLBu_Eb_zm_JfGzAAAAHA7qKR8AzmQS-c5MCAYWwgPxAf1_BBYKAxHp6ezL-_0TICvj_NwtANf54wQf1bNRCkAoIAAtvco1OzgTQAlIb1ACKq8GEAwaoAYAAFDBAACAQQAAgMAAANjBAABgQQAAcMEAABRCAAC4wQAAHMIAAEDAAAC4QQAADMIAACDCAABAwgAAoEIAAFDCAAAwwQAAoMAAAAzCAACEwgAAsMEAAOjBAABwwQAAEEIAACxCAADAwQAAgMEAAKDCAABUQgAAREIAAFzCAAA0QgAArsIAAABBAAAAwgAAgMEAAODBAAD-QgAAQMEAANBBAABsQgAABEIAABhCAADgQQAAAEIAAFjCAACawgAAyMEAAKpCAAAgQQAAHMIAABxCAABgwQAAIEEAAOhBAABgwQAA3MIAAGBBAAAUwgAAwEEAAGRCAAAgwQAA2MEAAJzCAAAQQQAAusIAAPDBAABEwgAAQEEAANDBAAB0QgAAskIAANDBAACmQgAAWMIAAIDCAADIwQAAgD8AADBCAADIwQAAfMIAAOBAAADgwAAAgEIAADDBAAAwQQAAQEAAANhBAABAQgAAaMIAAFBBAADAQAAAMEEAAAjCAAAgQQAAiMIAAGBBAAAcQgAANEIAAAjCAAAQwgAAOEIAAEBCAADEwgAAuMEAAIhBAADAQQAAoEEAAKBAAAAsQgAAgD8AAHBBAACgwAAAisIAAIA_AADgQQAAoMEAAFTCAAAAQQAAIEEAABzCAABUwgAA2MEAAIDBAAD4QQAAaEIAABBBAAAUwgAAJMIAAEDCAACIQQAAwEAAAIjBAACAPwAAMEEAAODAAAAAQQAAkMEAALjBAACuwgAAcEEAAMDAAAAUQgAAEEEAAChCAAAAwQAAfMIAAIhBAADAQAAAuMEAAJhBAACoQQAAoEEAAPDBAABwwQAADMIAANhBAADSwgAAQMAAAARCAAAswgAAIEIAADzCAAAMwgAAyMEAAIA_AABYQgAADEIAAERCAACAwQAANMIAABRCAAAEwgAAoEAAAODAAACIQQAAkMEAADDBAAAsQgAAsEEAAAxCAACAwAAAAMAAAOBAAACUQgAA0MEAAKDCAAAgQQAAgEAAAHDBAACmwgAAtMIAAHDBAACAwAAACEIAABDBAAAUwgAAUEEAABzCAAA0wiAAOBNACUh1UAEqjwIQABqAAgAAgLsAAFC9AABQvQAAbD4AAJi9AAAkPgAA4LwAAAW_AADuvgAA2D0AAFy-AACoPQAAqr4AAOI-AABkvgAAZL4AAL4-AADgvAAAmj4AAB0_AAB_PwAAyL0AAAQ-AACoPQAAsr4AAAy-AABwPQAAuL0AAHw-AAB8PgAADD4AAKi9AACgPAAAgDsAAHQ-AAAkPgAA6D0AAIC7AAC6vgAAnr4AADC9AADgPAAAqj4AABy-AACgPAAA4DwAABw-AACuvgAAUD0AALa-AACYPQAADL4AAIo-AACIPQAAFL4AAHC9AAA9PwAAmD0AAPi9AABQPQAAuL0AACQ-AAAMPgAAoLwgADgTQAlIfFABKo8CEAEagAIAAEy-AABwPQAA2D0AACO_AACgPAAAEL0AAKI-AACAOwAAHD4AAIi9AADgPAAAqL0AAOC8AABsvgAA4LwAADA9AAAEPgAAIz8AAKC8AADKPgAAML0AAKi9AADYvQAANL4AAIC7AAAQvQAAmD0AANg9AACAuwAAcD0AAFA9AABMPgAALL4AAHC9AAAMPgAAML0AAFw-AAA0PgAAnr4AAAQ-AACGPgAAjr4AAOC8AACoPQAAyL0AABA9AAB_vwAAyL0AAFS-AAAMPgAAPD4AAKg9AACovQAAyL0AAGw-AAC4PQAAML0AAIA7AAAQPQAAmD0AADA9AAB0vgAA6L0AAAQ-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=0fRGdcfj0Wg","parent-reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["9493068173905662060"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"7178376288232686161":{"videoId":"7178376288232686161","docid":"34-3-11-ZF4BB0D54A805286C","description":"Class 11 Maths Chapter 1 Sets • 1st PUC maths sets|1st puc maths chapter 1... Chapter 2 Relation and Functions(Concepts) • 1st PUC maths relations and functions|clas... Chapter 2 Relation and...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1593025/97e51b393b30e3951f43c4b5a8c9a73b/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/650I1AEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"12","reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DI3YBffsK83o","linkTemplate":"/video/preview/7178376288232686161?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"1st PUC maths Principle of Mathematical Induction in English|class 11 maths in English","related_orig_text":"principle maths","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"principle maths\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=I3YBffsK83o\",\"src\":\"serp\",\"rvb\":\"EqkDChQxNTMxNTQxOTI2OTA3MzQyODc3NwoTMTc2NjUwMDM0MzE0NzM4MjUyMgoTNDE4MTE2ODQ4MDMwOTExMzM1MgoTNzUzNjgzOTUzMzI5MDAzNDM2OQoUMTY3MjkyNDcyOTY1Mjc5MjAzNzQKEzI0Nzk3MTQyMjg0MjMzOTU3ODQKFDEzMTI0NzM0Nzc0MzgyODM1MDIwChM5MjkyODQyMzEyNjU5MDg3NDAwChQxNDExNzQ0OTI0NzQzMzY5MDg0NgoTOTQ5MzA2ODE3MzkwNTY2MjA2MAoTNzE3ODM3NjI4ODIzMjY4NjE2MQoTNTk2MTcyMzQxNzY5MzY4NjkzMwoUMTQwMTM0NTkyOTY4MzUyODI1MjIKFDEzMDg5NDkxNTY0ODY5OTQ2MDUwChMzMjcxNzIwNzU1MzQxOTIxNDA1ChI0MDU3NDQ0NTc0MTM3NTIwNjIKEzMyMDAzNTQxNjY3ODU0NzM2NjkKEzU4NTE2MzA2Mzc3MzQ3OTQ4MjcKEzQ4ODQ2NDYxMDczMzQ5ODM5NzcKEzIxMTQxMjE2MjUxMTMwMTIwNjMaFQoTNzE3ODM3NjI4ODIzMjY4NjE2MVoTNzE3ODM3NjI4ODIzMjY4NjE2MWqIFxIBMBgAIkUaMQAKKmhocmp6bGplZ3hreWJmb2NoaFVDODQ4VFVHQ1J1QWtxMkJwcmRBZFBVZxICABIqEMIPDxoPPxOpBYIEJAGABCsqiwEQARp4gfgAAgYB_wD8ABAFBwf8AgAE__j4_v4ACvP8-_cC_wD3_AoLCQAAAAr_-AP5AAAAAfYBBfX9AQANBvUDBAAAABEPC_P-AAAAGxH_AP4BAAD89wL_Av8AAB4FCAkAAAAAAwEG__3_AAAHDgsKAAAAAAn-BAYAAAAAIAAt9AnQOzgTQAlITlACKoQCEAAa8AF8BOv_0RbsAOzvzQHvKRQBgSIK_v0x1QDLAQ4AvPfKAPn63QDp_gAAJP8RANsd_ABJ9_j_E98Y_yLY8f_l8QIBAA0NACi-9QFC4Qf_8OPc__kTBv_-zhEA99zU__v03v37_BIA2OXPAfgB9wcTwxoA-xgk__vc7v3k3hL9y_n5B8_ezvv79gcH6-v-AuYuIQL56woFIhsQ_OIG__wA4-j3FvX7-C8R5gH9-xoI9_7yBAMo-fr3Luj9Jxv-AejLAQYK6RYC2ecA-PfZD_QpAggM-BH3AQLvCPspCfj5AfAEB_nz9_HpF_IE6-_3-sv57gIgAC3_IR07OBNACUhhUAIqzwcQABrABwcH2755A4w8ymcxOiNeqLy0rLu8pB6_u_gzPLyHSzM9xMGUu1G7rz2ezjq8CKI4vJxNl77qPVy5ZI8WvMuAMz7m0Yi9mGIzPHoXL74IPDA9KZ_UvE94kb5nFUw9qeaLuiAwyj3Ay1G9F7eTu3IeaT07anG9vLQ8vUc-mr0DGvQ7tOQUPM6MTr4rLF29QAgWvNfqwT038JS9CekfPGxIVz2x7Pi8VIaWvLdXSz1WdNa7xqcgvS63aj1W4Pk7codNvXMIsT1Avdm8hcOcPEfiijz4J6e8LUPaO6gzHL00P0i971AYu1jzLbx1ETU9euFOvF-Mkj1OETu8ccG-vFUUz73OQ_076PioPPX1_D2cogg96ytZvCYMdL1dRrs9TCy6PHvylTwCrCG8I-EWvR88ZD0-40c90AHROyCihzz5pG49oEiBvG62I735WHA9CRLAPPTzUD3TwA-9u5KuvFb3Q70t6oO9dZzwO8HWNrxLHK49tD16vKhOjD1WEQ49tGx3PH5LKr39Pi0826AbPLxcJL3P99O9-4r_Oy7yHbxvLpm9zct-u3446D1CQIA7fH0QvLvPVj0SFQq9pk-hvDD6ZTySq7s73c0Vu8M-mz0TjzW9JSQSPFACpr16H0I9BMFKu_4s1rxhXKC88747vOnsyTxMGM09X-iaubjSBj0IVtW9ProSukdM2jwqtyO9xc1euop8sjxyZpA9jDk0OgXqAz22Rw-9HYTOuwFleDw8NAe9U4I5ugkQb71wyCu8NDwLO6Gd0z1RgZi9l51ROe2spz3igEy8A4xluXHgOr0uuks9chbHN1Fupj1KbG295oIGOas9kb0aUhW-MFEKOtEoiL2Zqb88HMX3tfacbz29tcI8pq5qOCCix72Svv-8dZ0PuepZ9bwReeY8C-zbOBDJkLyNQUy8EnOmuGLAkjyXIvU7FMdfOUph3rtst3i9U2PDOaTfnr30-P09oAgVOOukYzyijKK9v1JkOVxmQr2ZDOc9kJgCuVSl0rwfzMc9ctVYt_Z_jjwALtI8v_PXuIE6Sj1t2EC9OR6vt_TovDxDoyU9jBfbt0N-vL2bRkm8eEvIN9pCRjz4-lq9KOMZuMhKZz3cJ6w8s6H4NULMijyK6ki94enDtaBUyz338ca8LY_VuPZUWL1_wW68VLJTt_SLkj0wjbW9mOZEN8ya2LzjtWE9kN-ht-TVnrx6ifG9ZVUwuMr0cD0i4Ss-8cuKONiioLx1La07g7vruKgNHb2J3AI9ojz2tgfJp7wCPkk9MAHYtiAAOBNACUhtUAEqcxAAGmD_3AAW-SAn3QdK9Nfv_w7sqQ-8LNz-_9vW__T6A9IJIMe4I___HsIEyZcAAABM2tTzDQCxf8W9CBkc8g7X1vos_2cAJRW5wzcV2usO0NIgaBcQ7_AAHL2vHzHysUdULEAgAC1ImxI7OBNACUhvUAIqrwYQDBqgBgAAoEEAAMBAAABQwQAAuMEAAEBBAACIwQAA6EEAAHDBAABwwQAAQEAAABxCAACuwgAAdMIAAEzCAACuQgAAJMIAADDCAACowQAACMIAACTCAAAgwgAAMMIAAADAAAA4QgAAwEEAAMDBAAAswgAAmMIAAABCAAAgQgAA4MEAAChCAAC-wgAAgMAAAHjCAACAwQAAyEEAAMRCAAAkwgAAHEIAADxCAAAgQQAAVEIAACRCAACwQQAApMIAAIjCAAAAQQAArkIAAPBBAADQwQAAiEEAAMBAAABAQAAALEIAAGDBAAD4wgAAPEIAADTCAADAQQAAYEIAANDBAAAMwgAArsIAAMDAAAAIwgAAGMIAAATCAAAgQQAAiMEAAHBCAAB8QgAAYMEAAGhCAAAwwgAAgsIAAODAAADwwQAAIEEAAEBAAAAwwgAA-EEAAMBAAACIQgAAyMEAAFBBAACwQQAAQEAAAFxCAAAQwgAAoMAAAPBBAAAEQgAAhsIAABDBAAA4wgAA4MAAAPhBAABMQgAAwEAAAIjBAAB4QgAAAEIAALzCAADAwQAAoMEAALDBAAAgQgAAiMEAAGxCAAAgQgAAQEEAAEDAAABMwgAAgEEAAKDAAABswgAAGMIAACDBAAAAwQAA4MAAAETCAAAQwgAAYMEAAGBBAABwQgAAgEAAAJDBAABEwgAANMIAAMDAAACQwQAACMIAALBBAABgwQAAmEEAAEDAAABMQgAAKMIAAKDCAAAYwgAAwEEAACBCAACAwAAAEEIAAMBBAADYwQAAIEEAAIhBAAAAwgAA2MEAAFxCAAAAQgAAAAAAAHDBAADAwAAAEEEAALLCAACIwgAAFEIAAOjBAABwQQAAPMIAAIjBAADYwQAAWEIAAHhCAACOQgAABEIAADBCAAAgwgAAMEIAABjCAABwQQAAIMEAAEDAAABAwAAAAMEAAGRCAABwQQAAoEEAAAjCAADwQQAA6EEAAJZCAABgQQAAVMIAAARCAABQQQAAQMEAABzCAACOwgAAAEAAAAAAAADwQQAA4MAAACTCAADIwQAAQMIAACzCIAA4E0AJSHVQASqPAhAAGoACAAAMvgAAbL4AAHQ-AADgvAAAQLwAAHQ-AAB8vgAALb8AAI6-AADoPQAA6L0AAES-AACgPAAAij4AAEC8AADgvAAAyD0AAHC9AABUPgAAFT8AAH8_AABQvQAAFD4AADC9AACIvQAAuL0AAFA9AABQvQAAFD4AAEw-AAAkPgAAgr4AAKA8AACovQAAcD0AADQ-AAAQPQAAEL0AAK6-AACevgAAyL0AAKi9AADCPgAAyL0AAMi9AAAkvgAAyj4AAFy-AAAwvQAAIb8AAK6-AAA0vgAA6j4AAEw-AACivgAAcD0AAFk_AAAMPgAAND4AABy-AADovQAAND4AAMg9AAD4vSAAOBNACUh8UAEqjwIQARqAAgAATL4AAKC8AACovQAAHb8AAKi9AAA8vgAAhj4AAFC9AADgPAAAQLwAALi9AADYvQAAFL4AACy-AACYPQAAgDsAAMg9AADyPgAAML0AAN4-AABQPQAABD4AAIK-AAAEvgAAMD0AAEA8AAAQPQAAUD0AAPi9AAAMPgAA4DwAAEQ-AAC4vQAADL4AAKA8AAAQvQAAPD4AABQ-AACGvgAA2D0AACQ-AAC4vQAAUL0AAPg9AABAvAAA-L0AAH-_AAD4vQAAJL4AAIC7AACoPQAAmD0AAAy-AAAQvQAAVD4AALg9AAAwvQAAED0AAEC8AADIPQAAoDwAAEC8AAAQPQAAED0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=I3YBffsK83o","parent-reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":854,"cheight":480,"cratio":1.77916,"dups":["7178376288232686161"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"2909483726"},"5961723417693686933":{"videoId":"5961723417693686933","docid":"34-6-17-Z44B0360701A360DB","description":"This video explains in a simple English the concept of Principle of Mathematical Induction and how to solve the most representative problems on the concept. Hello viewers. You are tuned in to...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3069053/ba5944fb2dad6bc680325d6b133fb231/564x318_1"},"target":"_self","position":"13","reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DuR_h7hEDjQA","linkTemplate":"/video/preview/5961723417693686933?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Principle of mathematical induction I class 11 mathematics","related_orig_text":"principle maths","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"principle maths\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=uR_h7hEDjQA\",\"src\":\"serp\",\"rvb\":\"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-CAT8BAD7AwMOCgj7AgsA-_r3AAAA_vv99fwF_gD4_AkKCQAAAAQG9wECAAAA9_77CPT_AQAEAu4GAgAAABEEBvn4AAAAGhD_AP4BAAD8-AL_Av8AABEJCAH_AAAAAAQD9_z_AAAGDQoJAAAAAAgJ-wMAAAAAIAAtk7jeOzgTQAlITlACKnMQABpg9gsAGBIaE8UgNO7ZBOME9_UT1iPt-wDj9wAE9f_cCxHK3P8b___JC-fCAAAAEvjyCBkAy0_k69khI_Yb7vb1Fgd_9iP6BSYD7NAD_sYANiX92-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_AAB4QgAAFMIAAEBBAACgwQAA-EEAAEzCAAB8wgAAgD8AAKDBAAC4QQAAgMAAABBCAAAIwgAAQMEAAIA_AACIQQAAoEAAAMDBAABgQgAA6EEAAEDBAAAgwQAAcEEAAIhBAAC4wgAAwMIAAHRCAABAwAAADEIAAMDAAABQwQAAIEEAACBCAAAIQgAACEIAAHBBAAAMQgAABMIAAFRCAACwwQAAgMAAAFDCAADAQAAAJMIAADBBAAAIQgAAdEIAAMBAAAAkwgAAoEEAAKBAAACQQgAAMMEAALDCAACAvwAAwMAAAIjBAAAwwQAAkMEAAAxCAAAwwgAAAEIAADRCAABgwgAAEEEAAPjBAAAMwiAAOBNACUh1UAEqjwIQABqAAgAAoLwAANi9AAAMPgAAyL0AAKg9AACgPAAATL4AAEm_AAD4vQAAwj4AABA9AABwvQAA2D0AAFw-AAA0vgAAcD0AAJg9AACAOwAAdD4AADM_AAB_PwAAdL4AAEQ-AACgvAAAgLsAAAS-AACIPQAABL4AAKA8AAA8PgAABD4AAKa-AACYPQAAyD0AAHA9AADoPQAAHL4AAES-AADCvgAAjr4AAHS-AACGvgAAVD4AAIq-AABsvgAAor4AAJ4-AABcvgAAqL0AAA-_AACyvgAA6L0AAM4-AACGPgAAfL4AAEC8AABTPwAAUD0AAJg9AAAQPQAAoDwAACQ-AABQPQAALD4gADgTQAlIfFABKo8CEAEagAIAAPi9AABQPQAAoLwAACm_AAAUvgAABL4AAII-AABwvQAAMD0AAKA8AADYvQAAfL4AAJi9AABkvgAA4DwAABC9AACoPQAAAT8AABA9AAD2PgAAyD0AANg9AABkvgAA-L0AAIC7AACovQAAMD0AADA9AAAQvQAA6D0AAKA8AAAkPgAA4LwAAGS-AAAwvQAAmL0AACw-AAAEPgAAfL4AAFw-AACIPQAAUL0AAIC7AABwPQAAmL0AABA9AAB_vwAADL4AAGS-AACYPQAAED0AAJg9AACgvAAA4LwAAEw-AACYPQAAML0AAIg9AAAwvQAAmD0AAFA9AACgPAAAqD0AAFA9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=uR_h7hEDjQA","parent-reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["5961723417693686933"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"14013459296835282522":{"videoId":"14013459296835282522","docid":"34-1-0-Z2B9BE9557640626B","description":"A math video showing how to determine the number of ways to get from point A to point B along a grid. It is not hard, if you know the trick to doing it.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4536882/a2c1eaf133d97887a59e9bc7e94cd469/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/QEnLkgAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"14","reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DtrIkPmwTSyA","linkTemplate":"/video/preview/14013459296835282522?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Math Principles: Paths on a Grid: Two Approaches","related_orig_text":"principle maths","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"principle maths\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=trIkPmwTSyA\",\"src\":\"serp\",\"rvb\":\"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_wEABAAFBwEI_AL9Cff89_79AO348PwFAAAAAf0OCf8BAAAHBf37AAAAAO0I9AAAAQAAAA7zCgMAAAAe_fP6_AAAABAIBgP-AQAA_PgC_wL_AAAK9woCAAAAAPz0_gb8_wAAAA8N9QAAAAD__QDvAAAAACAALcnW1Ds4E0AJSE5QAiqEAhAAGvABdRNB_c_zkwHxPvUBSOS0AfgbPf9mQ_4ApS_uABr9DwEWFrwC-PjjAPENzwHKNdIA3eSx_4HL4f7u3AUADrr8ANnWAgFbAPMCESr1AFTdAgD9EDD99dsYAPwCugDzFBABExQX_T9cAv7ByLEIDsVVBAPjN_vz0dII9PQr_-YF-AMO6sgArujUAS8t9wjB5CkCB1f5AQVF-QHuadwKR-zt_KbTGwImD-r3yxH2De8eH-0EDvgAGAHRAeIWFPkKQtH14RwT8tHLAAAjEg8L7vzX8yem1vYN6PEL-hkCE_Dy7BPy5R8K8hsF3h0E1_Xb0fYHIAAtfybZOjgTQAlIYVACKnMQABpg7QoARzMu7PnhBALC9-UJ77rbxQjyAP8K5v8ZDtMfF-7y6Bz6__qpQdWmAAAAGwHj_zAAsWsizfAy-NkTvAAB_PN_CwYg8r8F9NjX3QMU_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_AAAQQQAAAMEAAMBAAABkQgAA8MEAABhCAACOQgAAgMAAACDBAAAcwgAAAEIAAPDBAADoQQAADEIAACBCAADQQQAAwMEAAJBBAAD4QQAABEIAABBBAADgQAAAIEIAAETCAACAwQAA4MEAAKjCAAA8wgAAgEAAANBBAAAUQgAAiEEAACBCAADYwQAAgEEAACxCAAA0QgAAMEIAAHxCAABAwgAAIMEAAKDBAABgwQAAoMEAAMBAAAA0wgAAJMIAAJDBAABMwgAAdEIAAHzCAACYwgAA2MEAAABAAAAkQgAA4MEAAATCAAAkwgAA6EEAAKBBAADoQQAA6MEAAEzCAAAYwgAAQEAAAAxCAAAsQgAAQMEAAABCAAAQwSAAOBNACUh1UAEqjwIQABqAAgAA-D0AAMi9AAAUPgAAuL0AAPg9AADIPQAA6D0AABe_AABcvgAAPD4AAMi9AABAPAAAMD0AAEw-AABwvQAAFD4AAGw-AAAEPgAABD4AAO4-AAB_PwAAQDwAAHA9AADYPQAAgr4AAPi9AADIPQAAor4AAIi9AAAsPgAAcD0AADC9AACIvQAA2L0AAHQ-AAC4PQAAcL0AAKA8AABsvgAATL4AANi9AADovQAAgDsAAOC8AACOvgAAgDsAAEC8AABQvQAA4DwAACy-AAAwPQAAiD0AAIY-AAAcPgAAor4AADC9AAAvPwAAqL0AADA9AABEPgAAiL0AAEw-AABwPQAAcD0gADgTQAlIfFABKo8CEAEagAIAAAS-AAAkvgAAQLwAAC-_AACovQAAyD0AAIY-AAAQPQAAUL0AAMg9AACIvQAAyL0AABS-AADgvAAAoDwAAEC8AACYPQAAEz8AABy-AADiPgAAoLwAAIA7AAA8vgAAFL4AADA9AABwvQAAoLwAABC9AAAwPQAAHD4AADA9AAD4PQAAgLsAAES-AABcPgAAoLwAADQ-AAA8PgAAbL4AAMg9AACGPgAAEL0AADA9AAAQvQAANL4AAFC9AAB_vwAAuD0AAKC8AACAuwAAmD0AAOA8AAAMPgAAQDwAAEQ-AABwPQAAoDwAAEC8AADgvAAAED0AAKg9AADgvAAAQDwAACQ-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=trIkPmwTSyA","parent-reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":960,"cheight":720,"cratio":1.33333,"dups":["14013459296835282522"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"439454856"},"13089491564869946050":{"videoId":"13089491564869946050","docid":"34-5-16-Z4056BADC9343A323","description":"Aslam alekum guys, After watching this video you become mathematics expert and solve maximum question of maths in different maths examination as well as upcoming Tests. jamshoro | PST andJEST...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1025041/17da5b98fcc7d4ab90b562a77501cf2c/564x318_1"},"target":"_self","position":"15","reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DPF_rAI_pTZw","linkTemplate":"/video/preview/13089491564869946050?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Maths Basic Principles | Maths for Class 5,6,7 | Sindh Text Book Board jamshoro | PST and JEST MATH","related_orig_text":"principle maths","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"principle maths\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=PF_rAI_pTZw\",\"src\":\"serp\",\"rvb\":\"EqkDChQxNTMxNTQxOTI2OTA3MzQyODc3NwoTMTc2NjUwMDM0MzE0NzM4MjUyMgoTNDE4MTE2ODQ4MDMwOTExMzM1MgoTNzUzNjgzOTUzMzI5MDAzNDM2OQoUMTY3MjkyNDcyOTY1Mjc5MjAzNzQKEzI0Nzk3MTQyMjg0MjMzOTU3ODQKFDEzMTI0NzM0Nzc0MzgyODM1MDIwChM5MjkyODQyMzEyNjU5MDg3NDAwChQxNDExNzQ0OTI0NzQzMzY5MDg0NgoTOTQ5MzA2ODE3MzkwNTY2MjA2MAoTNzE3ODM3NjI4ODIzMjY4NjE2MQoTNTk2MTcyMzQxNzY5MzY4NjkzMwoUMTQwMTM0NTkyOTY4MzUyODI1MjIKFDEzMDg5NDkxNTY0ODY5OTQ2MDUwChMzMjcxNzIwNzU1MzQxOTIxNDA1ChI0MDU3NDQ0NTc0MTM3NTIwNjIKEzMyMDAzNTQxNjY3ODU0NzM2NjkKEzU4NTE2MzA2Mzc3MzQ3OTQ4MjcKEzQ4ODQ2NDYxMDczMzQ5ODM5NzcKEzIxMTQxMjE2MjUxMTMwMTIwNjMaFgoUMTMwODk0OTE1NjQ4Njk5NDYwNTBaFDEzMDg5NDkxNTY0ODY5OTQ2MDUwaq4NEgEwGAAiRBowAAopaGh2aXpqcnl0eG9tbnZjaGhVQzR6NDBsVUt5bk8xMHVCOExGdVB3NWcSAgARKhDCDw8aDz8T-weCBCQBgAQrKosBEAEaeIHu9gcIAv4A7_8E_v8CAAEGA_L19v_-APD68gT4Af8ACPcEAQkBAAACCP8C_QAAAPb--wjz_wEA_REA-fgAAAAUFQoDAgAAAAgODQf-AQAA9wEL_gMAAAAF9RP4AAAAAAMBBv_9_wAAEQ4KAgEAAAABAAn2_wAAACAALZ39zDs4E0AJSE5QAipzEAAaYPbzACxcJf-mIP3uy_ED5hzeDdsm5BP__vL_Dwq8zxj9zpo1Cv_prz77nwAAABsA3_I8AMB_CLOvOAaq46nYAxgtbCk04_EY5OkODRPbBC0ZErzrIQDB-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_AACIwgAAcEEAAEBCAADoQQAARMIAALxCAABgQgAAeMIAAIDCAABMwgAAqEEAAFBBAADwwQAAdEIAANhBAACaQgAA2MEAADhCAACwQQAAyMEAACDBAAAAwQAALMIAAOjBAAAAwQAA-MEAAGjCAADAwQAAMEIAAKJCAACSwgAAgMEAABjCAABwQQAAoEEAABDBAACAwQAAJEIAAFjCAADoQQAAAMAAAABCAAAswgAAcMIAAFBBAADAQQAAQMIAACDCAAAEQgAAgD8AAJBBAAAUwgAAQMIAAGBBAACgQAAA-EEAAFRCAADgwQAAmEEAAEBAAABQwQAAiMIAAJLCAACaQgAA4MAAACDBAAAIQgAAoMAAAAzCAABEQgAAgkIAAJRCAABcQgAAEEEAACjCAACwQQAAyMEAAPjBAADQwQAAQEEAABzCAAAQwQAA4EEAAHRCAAC4wQAARMIAAEBAAAAsQgAAjEIAAKTCAACIwQAAqEEAAODBAADowQAAMEEAACDBAADgQAAA8MEAABxCAACgQQAAkMEAAABAAADQwQAAkMIgADgTQAlIdVABKo8CEAAagAIAAAS-AABEvgAAdD4AADC9AAAQPQAAmj4AABC9AAAFvwAA2L0AACy-AACIvQAANL4AAOg9AABcPgAAFL4AABC9AACIPQAAgLsAACw-AACyPgAAfz8AAFA9AADYPQAABD4AAPi9AABMvgAA2D0AADC9AAAkPgAA6D0AANg9AAAEvgAAuL0AAOC8AADYPQAAuD0AABQ-AACovQAAnr4AADC9AAAcvgAAFL4AANg9AACoPQAAyL0AAHC9AACiPgAADL4AABC9AACavgAAmL0AADA9AACWPgAAqD0AAFy-AACAuwAACz8AAAw-AACIPQAAoDwAADy-AABUPgAAQDwAAJi9IAA4E0AJSHxQASqPAhABGoACAAAkvgAAuD0AAOC8AAATvwAAiL0AABC9AABMPgAA-D0AABw-AADovQAADL4AAFC9AAC4vQAAFL4AAIg9AACYPQAAyD0AAP4-AABUvgAAwj4AAKC8AACAuwAANL4AADS-AACAOwAAHD4AAIA7AABwPQAA-L0AAAQ-AACgPAAAXD4AACy-AADovQAAgLsAAIg9AABkPgAAuD0AAGy-AADgvAAAmD0AAFS-AABQvQAAHD4AAEC8AAAEvgAAf78AAOi9AACGvgAADD4AAFA9AAAEPgAANL4AALg9AAA0PgAA-D0AAHC9AACIvQAA4DwAAFQ-AAC4PQAALL4AAMg9AAAQPSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=PF_rAI_pTZw","parent-reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["13089491564869946050"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"3271720755341921405":{"videoId":"3271720755341921405","docid":"34-8-5-Z586517AB43474188","description":"About principle mathematical induction ( matrix)...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3743849/6756cab27177e8d5bf5a09cda335b588/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/tguKDAEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"16","reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Du2BxH5G_Uqk","linkTemplate":"/video/preview/3271720755341921405?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Lec-14 class-12th( math) principle mathematical induction (PMI) Matrix","related_orig_text":"principle maths","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"principle maths\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=u2BxH5G_Uqk\",\"src\":\"serp\",\"rvb\":\"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_gD0_gsNAgf8AR4A_P70AwMABAb0AvcD_wDo_BEFBQAAAAMJ-Pv3AAAA_gnuA_b-AQAQAff8BAAAAAkI__b2AAAAHBL_AP4BAAD8-woEA_8AAA0OD_YAAAAA_xL-A___AAARDgoCAQAAAP8TAgz_AAAAIAAtnf3MOzgTQAlITlACKoQCEAAa8AF_-SgBzPrN_9737P_SKOEBqQ0d__w10QDjF_QBvOneAewa3ADcBOkA8fYp_-AN_f9C9cj_-c4CACO-9v8l7wgA1gfpAAnj7wFeBx4A__Lh_uX5JfwUvyMB9tnQ_vQEzAED1gX_IgXlAOwDwAIZ5C4DIP4hBgboCf_crf0B3Pv8Auvc2P0QDOv9CMoNAb3nEQAx9vT-EAYJ9NQU8vz41PH_-twDCg8n7gUHtuwB-BwEBson_gL08fMHBDcW_8AE9voF-xT61uQA9wj5DAYE0AP6-PT5_Rz09AwV2hP7JvgHAATe-Pne-Pz59u3qC_QD9gAgAC3nWA87OBNACUhhUAIqcxAAGmD__QAkA0b-xxQr1e3yCgzO4gCSTt4I_93f_yfg6eU5GczMChb_7b0r36EAAAA23O4GGwC1f9nvD00YBRfDzPgdJ331IC-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-EEAADDBAAAgQQAA4MEAANBBAAAcwgAAKMIAAKxCAABgQQAAQEEAABzCAABYQgAAsEEAAL5CAAA0wgAAVMIAAKjBAACAPwAAgL8AAAzCAAAUwgAALEIAAIDAAACMQgAAWEIAAADCAADYwQAAAMIAACDBIAA4E0AJSHVQASqPAhAAGoACAABwvQAAkr4AAJ4-AAAQvQAA-D0AACQ-AABEvgAAN78AAMa-AABMPgAA6D0AAFC9AACGPgAAXD4AAGy-AADIvQAAFD4AAMg9AABMPgAADz8AAH8_AADYvQAA-D0AAHC9AABEPgAAyL0AADw-AACSvgAAVD4AAGQ-AADYPQAAuL0AAKi9AACoPQAAQDwAAMg9AACIPQAAXL4AAHy-AACOvgAAdL4AAES-AACovQAA6L0AAFS-AABcvgAAgj4AAGy-AAC4vQAArr4AAFS-AAAQPQAAJD4AAAQ-AACKvgAAQLwAACc_AAAQvQAAgj4AAHw-AACYvQAAcD0AAIg9AAAkviAAOBNACUh8UAEqjwIQARqAAgAA2L0AAEw-AAAQPQAAGb8AABy-AABQvQAAdD4AAKg9AACAuwAAFD4AAEC8AAAcvgAAqL0AAAy-AACAOwAAQDwAALg9AAATPwAAoLwAAOY-AADYPQAAgDsAAGy-AAAcvgAAgDsAAIi9AACAuwAAQDwAANi9AABcPgAAML0AANg9AAAQvQAAHL4AABC9AACYvQAAUL0AAEA8AABEvgAA-D0AAIA7AAAMvgAAoDwAAOA8AACAOwAAcD0AAH-_AABQvQAAHL4AAKC8AADYPQAARD4AAKC8AACAuwAAyD0AAHA9AABQvQAAQDwAAIg9AAAEPgAAED0AAMi9AADoPQAA4DwgADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=u2BxH5G_Uqk","parent-reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["3271720755341921405"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"405744457413752062":{"videoId":"405744457413752062","docid":"34-11-16-Z28FF3F16157DA3FA","description":"Enjoy the videos and music you love, upload original content, and share it all with friends, family, and the world on YouTube.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2780508/fda5e17887e1b99adbcd00744f80b4cb/564x318_1"},"target":"_self","position":"17","reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DDLNyC1EWyV0","linkTemplate":"/video/preview/405744457413752062?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"2.1C - The Multiplication Principle - MATH 120","related_orig_text":"principle maths","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"principle maths\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=DLNyC1EWyV0\",\"src\":\"serp\",\"rvb\":\"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-AgD08PwJAAX-ARn7Bv_2AgIA_vv89fwF_gDuAAX_DQAAABYJ_gH-AAAAAgHy8_3-AQANBvUDBAAAAALw9QMDAAAAFQb_AP4BAAD_5Qr7AQAAABIIAvT_AAAA_AgBAfz_AAAMD_8CAQAAAAEEBv7_AAAAIAAtwqTaOzgTQAlITlACKnMQABpgCQ8AIjYhFwgZMe7pLMMmEvvi0in08v_74v8cHBPlN-zfp-nS_zTRNd-mAAAA-OHtIEoA420PFdI-Gd8svvP8PP9_KT7uJRL4DPzo-NkZHSTMFfgUAN_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_AACYQQAArsIAANBBAABwwQAAgkIAANBBAAAwwgAAwEEAAKBBAABwwQAAHMIAAADAAACAwQAAhkIAAKjBAAA4QgAAQEIAAIBAAABQwQAAAEAAAAzCAAD4QQAAMEIAAEDAAAAcwgAAgD8AAITCAAAQQQAACEIAADDCAACwwQAAiEEAAIC_AACgwAAAOMIAAGBBAAAgQQAAkMIAAPjBAAAUQgAABMIAAPBBAAAAQgAAUEEAAMjBAAAAwgAA4EAAAAAAAAC4QQAADMIAABDBAACwQQAAAEIAABBBAABwQQAAwEAAAHDBAAAkQgAAjEIAAMBBAABwQQAADMIAAGDCAACwwQAAwMEAAADBAAA8wgAAuEEAAIBBAADgQAAA-EEAAFDBAAAUQgAAtkIAAHxCAABcwgAADEIAAKjBAABAQQAAisIAAJjBAABswgAAGMIAACDBAADgwAAACEIAAKbCAACwwQAAIEEAAPBBAABMQgAAkMIAAGjCAADAwQAAuEEAAKDAAAAYQgAACMIAAHRCAADAQAAALEIAAIxCAAAAwQAAEEIAABBBAABAQSAAOBNACUh1UAEqjwIQABqAAgAAFD4AABA9AAAkPgAAEL0AAIA7AADgPAAAcD0AAAu_AACyvgAAzj4AAFS-AAAcvgAAyL0AAAQ-AAAQvQAAED0AADQ-AACgPAAARD4AAJY-AAB_PwAAcL0AAIi9AABUPgAAAb8AADS-AACAOwAATL4AAAw-AACIPQAAQDwAAKC8AAAMvgAAiL0AAEA8AABUvgAAmD0AADC9AABEvgAAXL4AAIC7AAD4PQAA6D0AAAS-AACIvQAALL4AADC9AABwvQAApj4AACS-AABMPgAAUL0AABQ-AABUPgAAML0AAIC7AAA3PwAAiL0AAAS-AABUPgAABL4AAIA7AABMPgAAiD0gADgTQAlIfFABKo8CEAEagAIAAPi9AACAuwAAqL0AAEm_AACovQAA4DwAAGQ-AAAwPQAAgLsAABQ-AABAPAAAgDsAACy-AACgvAAAEL0AAIC7AABQvQAAIT8AAIK-AADWPgAALL4AABy-AAAcvgAAVL4AAKi9AAAwvQAAML0AAMi9AADoPQAAXD4AAIA7AACIPQAA2L0AAHy-AAC4PQAAcD0AAFC9AACYPQAAFL4AAFA9AAD4PQAANL4AAIi9AACIPQAAfL4AAOg9AAB_vwAAcL0AAKi9AAAQvQAA2D0AAFA9AABMPgAAoLwAANg9AADgPAAAgLsAAFC9AADYPQAAUL0AALg9AABQvQAAQDwAAKA8IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=DLNyC1EWyV0","parent-reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["405744457413752062"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"3200354166785473669":{"videoId":"3200354166785473669","docid":"34-4-13-ZAE967FF9E243AA68","description":"Class 11th , Ncert Chapter 4 : 【P.M.I...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/218633/c39608cb3a13630b1cf9a7784c2a7aee/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/sbtIIgEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"18","reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DXWkU4MCjHm8","linkTemplate":"/video/preview/3200354166785473669?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"SMBE : Maths , Principle of Mathematical Induction【P.M.I.】","related_orig_text":"principle maths","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"principle maths\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=XWkU4MCjHm8\",\"src\":\"serp\",\"rvb\":\"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_Awv9AwDz_Qn-DAL-AQQAAAL4__4A___0-_0F_gDuAAX_DQAAAA4I9P79AAAA_fj4Avv-AAAPAfj8BAAAAA8D_v_9AAAAGhH_AP4BAAD__An7AwAAABQEEgIAAAAA-wQE_QAAAAAGDQoJAAAAAP8BCgb_AAAAIAAtQrHbOzgTQAlITlACKoQCEAAa8AF_0_wA0ejh_8bj4gDaNP0AnjIn__w4zgDDAhAAsfbCAfT8-AHbHPMA8PUr_uwo8wA40cz-2L0PADK0DQIZ7d0CxwQGAETr-gFKAxn_GPb2Ad0lMf3-xxQA9dfN_iIx4P4D0wX_Hs7fAusDvAIg5hkDBP9JARUFBwjV1CUC5hXwBuH11P0FGg8E0-YJ98L-IgHuz_cBEQYJ87rg-AD12gIHD-kL_B8e3v3xAO4M5g0NCdD96__8AeQEICcXCdP18_QT9yALvMv39gnnCA0d9fYB8x4CDRgP-xQx9Ar6AA0G_A_2_PTMAQH729v09gH28v0gAC2otgc7OBNACUhhUAIqcxAAGmAP7gAYD1UE0gsT5ewG6-3O2PilLtvn_9rI_wj83MQjJb-zAh3_8OIswZ4AAAAt-NUAEACjetv_9iLu7grB5hIpA38KNwuq8i4Iq9cc4-E3QCPW-RsAANutNSkgmjlFFD8gAC1vvxI7OBNACUhvUAIqrwYQDBqgBgAAyEEAAMhBAAAAQAAAGMIAAFRCAAAwQQAAcEIAAEDAAAAwQQAAUEEAAIA_AABYwgAAfMIAAIDBAACUQgAANMIAABDBAAAowgAAIEIAAJTCAACgQAAAEMIAAADCAADAQQAAEEEAADTCAAA8wgAAfMIAAOBAAAC4QQAAcMEAAJDBAACKwgAAHEIAAFjCAACAvwAA6EEAAN5CAAC4wQAAkEIAAABAAABQQQAAjEIAAGBBAABsQgAAwMIAAAjCAAAcQgAAcEEAAABAAABowgAAqMEAAIDAAADgQAAAHEIAAMBBAAC-wgAAMEEAAIjBAABsQgAAIEIAAGjCAADIwQAAiMIAACBBAACIwQAAoMAAADTCAAAwwgAAwMEAAIRCAAA8QgAAqMEAACxCAAC4wQAAusIAALhBAACgwQAA4MAAAKBBAAAEwgAA-EEAAFBBAACWQgAAwMEAAAxCAACAwAAAUEIAABBCAAAswgAAoEEAACxCAACAwQAAmsIAAIDCAACAwQAAYMEAAKDAAABcQgAAuEEAAHTCAABAQgAAaEIAAIjCAAA4wgAA0MEAADTCAAAUQgAASMIAACBCAAAAAAAAEEEAAIDAAAAAwgAAAEIAAODAAABMwgAApsIAAOBAAABAQQAAgEAAAJDBAADQwQAAgMIAAKBAAAAoQgAAoEAAAEDAAAAQwgAAMMEAAEDAAADgQAAAoEAAAEBCAAAMwgAA0EEAAHBBAACKQgAAhMIAAKLCAADgQAAAIEIAADxCAABAwQAAyEEAAKBAAAAYwgAAyMEAACxCAABgQQAAmMEAABBCAAAQQgAAuMEAAODBAACAvwAAwMAAAKDCAADWwgAAgEAAABDCAABgQQAADMIAAJjBAACAwQAAAEIAAMBBAACQQgAAiEEAABxCAAAIwgAAGEIAAGDBAACQQQAA-MEAAMDBAABAwAAAcMEAAFxCAAAoQgAAmMEAACjCAACAPwAAREIAAHhCAAAYwgAASMIAAJjBAADgQAAAQMEAAEDBAAAUwgAAYEEAACTCAAAsQgAAeEIAAIzCAAAgQQAAwMEAAFzCIAA4E0AJSHVQASqPAhAAGoACAAAQPQAABL4AAKI-AAAwPQAA6L0AAFQ-AACOvgAA8r4AAJK-AABsPgAA6D0AAHC9AAAUPgAAuD0AAHC9AABQvQAAEL0AAIA7AAAwPQAAyj4AAH8_AAAMvgAAMD0AALg9AADgvAAAJL4AAIg9AACAuwAA4DwAAEw-AAAwPQAAmL0AAMi9AAAMPgAAcD0AAKg9AACYPQAAPL4AAK6-AAB8vgAARL4AAKK-AABEPgAAML0AALq-AACuvgAALD4AAOi9AACYvQAAyr4AAIK-AAAwPQAAjj4AAHQ-AACuvgAAMD0AAAk_AACoPQAAZD4AADw-AACoPQAA4DwAAFQ-AAAQvSAAOBNACUh8UAEqjwIQARqAAgAALL4AAJg9AABwPQAAH78AAIq-AACIvQAAdD4AAEQ-AABQPQAAnj4AAKi9AAAEvgAAQDwAABA9AAAQvQAAgLsAAPg9AAAhPwAAgDsAANI-AAAQvQAAQDwAABS-AADovQAAqL0AAAQ-AAD4PQAAiD0AABC9AACGPgAAiL0AALg9AABwvQAAZL4AAKC8AACAuwAAPD4AABQ-AADovQAADD4AANg9AACYvQAAUL0AAMg9AABAvAAAoDwAAH-_AAAQvQAAhr4AAKg9AAC4PQAAND4AAAQ-AADYPQAAbD4AAIg9AABAvAAAgLsAAKA8AABAvAAATD4AAKA8AABAvAAAiL0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=XWkU4MCjHm8","parent-reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["3200354166785473669"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"5851630637734794827":{"videoId":"5851630637734794827","docid":"34-7-5-ZE1169535D3886E51","description":"link: https://whatsapp.com/channel/0029VaMm... This video lecture of Principle of Mathematical Induction will help Engineering and Basic Science students to understand following topic of...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1781560/93a07cdb0d79a1a4171d8736d8f65980/564x318_1"},"target":"_self","position":"19","reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dh6DEq54mElA","linkTemplate":"/video/preview/5851630637734794827?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Principle of Mathematical Induction | All Types | PYQs | Discrete Mathematics","related_orig_text":"principle maths","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"principle maths\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=h6DEq54mElA\",\"src\":\"serp\",\"rvb\":\"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_ggE_AQA-Pz6BgEF_QEM_vsI9___APUF9f32Av8A6v0PBAQAAAD-B_QH_AAAAPf--wj0_wEABAb7B_kAAAATCwAB_gAAAB0AAfr-AQAA-wAC_QP_AAANFAkBAAAAAAAEA_f8_wAAAhABBwAAAAAGBgMJ_wAAACAALZO43js4E0AJSE5QAipzEAAaYAQZABYMIALLHTTq6vnp-Pz3CNkK7PYA7uMADv7y3A8S5N7rHP_65Q3yywAAAAD--CIQANVC-ejeGhLw_vX07BgJf-wnA_Em9_TBBwTqDicn__HwAQD49_MTDPjJNAcZMiAALXzdcDs4E0AJSG9QAiqvBhAMGqAGAADQQQAAAMEAAJJCAACgwAAAQMAAAIjBAADAQAAABMIAAIjBAACgQQAA2EEAABBBAAC4wgAAcMEAADxCAABUwgAA4MEAAADBAAAgwQAAgMIAALhBAADQwQAAiMIAADhCAAC0QgAA8EEAAEDCAAA0wgAAKEIAAHhCAAAAwQAAbEIAAFDCAAAsQgAA4MAAAOBBAADAwAAA1EIAAODAAAAUwgAAREIAAKDBAABgQQAAsMEAAPBBAAAgwgAAGMIAANDBAAB0QgAAcEEAAIC_AADAQQAAMEIAABhCAAAAAAAABEIAANjBAADIwQAAQEEAAEhCAABoQgAAmMEAAFzCAACQQQAAgEAAAExCAAAsQgAAhMIAACTCAACgQQAAwkIAAABBAACKwgAAjkIAALjBAADGwgAAAEEAAIDBAACAvwAAAAAAAGzCAAAcwgAAQEAAAKxCAACowQAAYEIAAEDCAABgwgAAQMAAAADBAABAwAAAoEEAABzCAAAcwgAAwEEAAEDBAACYQQAADEIAAEBCAABgwQAAoMEAALxCAABMQgAANMIAAETCAACQwQAA-EEAAADBAAAYwgAANEIAADRCAACgwAAAFMIAAADCAACiQgAAcEEAALDBAACAwgAAMEEAAEzCAADIwQAAMMEAAIC_AACGwgAAfEIAAL5CAACQwQAAgMEAAKjBAADoQQAAQMAAAATCAAAAwAAAyEIAAODAAAAAwQAAAMEAACzCAABQwQAA-MEAADRCAABwwQAAgMIAAEDAAACAQAAA0EEAAAAAAAAkQgAA4MAAAJhBAAA8QgAA4EAAAHDBAAAwwgAAoMEAAODAAACQwQAAosIAAHBBAACoQgAAPMIAACxCAACgQAAAcEEAABBBAACowQAAPEIAANBBAAB4QgAAAEAAAJTCAACIQQAAFMIAALhBAAAwQQAAAAAAAHzCAACAwQAAQEIAAABCAACIQQAAfMIAAGTCAAAUwgAAXEIAACzCAABwwQAA8EEAALDBAADgQQAAwMEAAJBBAAAwQQAAEEEAAGhCAAAAQgAAmMEAAGBBAACUwgAAgL8gADgTQAlIdVABKo8CEAAagAIAAOi9AABAvAAAZD4AAIA7AADgvAAAqj4AAEC8AABPvwAAfL4AAKA8AABwvQAALL4AACQ-AADoPQAAiL0AAMi9AACIPQAAQLwAAEQ-AAA5PwAAfz8AALq-AACyPgAAgr4AABw-AADovQAAEL0AAIg9AACAuwAAmj4AAIo-AACevgAA6L0AAGw-AACAuwAA4DwAAAy-AAB0vgAA4r4AAIK-AADIvQAAVL4AAEw-AAA8vgAAhr4AAMq-AACqPgAAxr4AAES-AADyvgAA9r4AAKC8AABsPgAAyD0AAOi9AACoPQAAMT8AAIC7AAAsPgAABD4AAEC8AADIPQAAuD0AAOC8IAA4E0AJSHxQASqPAhABGoACAACovQAAiD0AAJi9AAAnvwAAbL4AAAS-AAAsPgAAoDwAAOi9AABEPgAAgLsAABy-AABQvQAADL4AAHA9AAAQvQAAHD4AAAE_AACAOwAAwj4AAIg9AAD4PQAANL4AAAy-AAAwPQAAQDwAAIi9AACAOwAADL4AAEQ-AACAOwAAiD0AAOA8AAAcvgAAiD0AAMi9AADIPQAA2D0AAGy-AACIPQAAcD0AAKA8AABQvQAAqD0AADC9AAAQvQAAf78AAOA8AABMvgAAML0AABw-AADoPQAAgLsAALg9AACIPQAAUD0AAKC8AACIPQAAQDwAAIC7AACIPQAA6D0AAOg9AAAQvSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=h6DEq54mElA","parent-reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["5851630637734794827"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false}},"dups":{"15315419269073428777":{"videoId":"15315419269073428777","title":"\u0007[Principle\u0007] \u0007[Mathematics\u0007] Induction","cleanTitle":"Principle Mathematics Induction","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=V8gDDBPkRwc","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/V8gDDBPkRwc?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDeExMMi04LXJfTlAtMFVrY3JYZ2NqZw==","name":"anas annizar","isVerified":false,"subscribersCount":0,"url":"/video/search?text=anas+annizar","origUrl":"http://www.youtube.com/@anasannizar6608","a11yText":"anas annizar. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1835,"text":"30:35","a11yText":"Süre 30 dakika 35 saniye","shortText":"30 dk."},"date":"19 eyl 2020","modifyTime":1600473600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/V8gDDBPkRwc?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=V8gDDBPkRwc","reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","duration":1835},"parentClipId":"15315419269073428777","href":"/preview/15315419269073428777?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths","rawHref":"/video/preview/15315419269073428777?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"1766500343147382522":{"videoId":"1766500343147382522","title":"Basic \u0007[principle\u0007] of \u0007[math\u0007] | How to learn basic \u0007[principle\u0007]| \u0007[Math\u0007] | #\u0007[maths\u0007]","cleanTitle":"Basic principle of math | How to learn basic principle| Math | #maths","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=TPfjp94z9iI","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/TPfjp94z9iI?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDMEwxc1VUSTFyNmV6bC1tRlBDbmE3Zw==","name":"Islam Ki BAAT 1 Million","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Islam+Ki+BAAT+1+Million","origUrl":"http://www.youtube.com/@IslamKiBAAT1Million","a11yText":"Islam Ki BAAT 1 Million. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":138,"text":"2:18","a11yText":"Süre 2 dakika 18 saniye","shortText":"2 dk."},"date":"30 eyl 2023","modifyTime":1696032000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/TPfjp94z9iI?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=TPfjp94z9iI","reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","duration":138},"parentClipId":"1766500343147382522","href":"/preview/1766500343147382522?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths","rawHref":"/video/preview/1766500343147382522?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"4181168480309113352":{"videoId":"4181168480309113352","title":"\u0007[Principle\u0007] of Mathematical Induction - Introduction | Class 11 \u0007[Maths\u0007]","cleanTitle":"Principle of Mathematical Induction - Introduction | Class 11 Maths","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=vAwL9YUKer4","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/vAwL9YUKer4?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDM0hTNmdRNzlqam40eEh4b2d3MEhpQQ==","name":"Magnet Brains","isVerified":true,"subscribersCount":0,"url":"/video/search?text=Magnet+Brains","origUrl":"http://www.youtube.com/@MagnetBrainsEducation","a11yText":"Magnet Brains. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1180,"text":"19:40","a11yText":"Süre 19 dakika 40 saniye","shortText":"19 dk."},"views":{"text":"162,9bin","a11yText":"162,9 bin izleme"},"date":"19 mayıs 2020","modifyTime":1589846400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/vAwL9YUKer4?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=vAwL9YUKer4","reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","duration":1180},"parentClipId":"4181168480309113352","href":"/preview/4181168480309113352?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths","rawHref":"/video/preview/4181168480309113352?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"7536839533290034369":{"videoId":"7536839533290034369","title":"\u0007[Principle\u0007] Of Mathematical Induction | Class 11 \u0007[Maths\u0007] | Chapter 4 | Full Chapter | One Shot V...","cleanTitle":"Principle Of Mathematical Induction | Class 11 Maths | Chapter 4 | Full Chapter | One Shot Video","host":{"title":"YouTube","href":"http://www.youtube.com/live/4v-uGOhHDRY","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/4v-uGOhHDRY?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDU1lHbmhkMHEwTG1NU1B0anp5YnMydw==","name":"Anurag Chauhan - EduMitra","isVerified":true,"subscribersCount":0,"url":"/video/search?text=Anurag+Chauhan+-+EduMitra","origUrl":"http://www.youtube.com/@AnuragChauhanMaths","a11yText":"Anurag Chauhan - EduMitra. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":4912,"text":"1:21:52","a11yText":"Süre 1 saat 21 dakika 52 saniye","shortText":"1 sa. 21 dk."},"views":{"text":"84,7bin","a11yText":"84,7 bin izleme"},"date":"7 ağu 2022","modifyTime":1659830400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/4v-uGOhHDRY?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=4v-uGOhHDRY","reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","duration":4912},"parentClipId":"7536839533290034369","href":"/preview/7536839533290034369?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths","rawHref":"/video/preview/7536839533290034369?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"16729247296527920374":{"videoId":"16729247296527920374","title":"Fundamental \u0007[principles\u0007] of \u0007[mathematics\u0007]","cleanTitle":"Fundamental principles of mathematics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=ZEraKwXx3qw","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/ZEraKwXx3qw?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDR3R0RllWNmpERWdseGx1dVVVOFdhQQ==","name":"David Cortese","isVerified":false,"subscribersCount":0,"url":"/video/search?text=David+Cortese","origUrl":"http://www.youtube.com/@david-cortese","a11yText":"David Cortese. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":566,"text":"9:26","a11yText":"Süre 9 dakika 26 saniye","shortText":"9 dk."},"date":"2 kas 2025","modifyTime":1762041600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/ZEraKwXx3qw?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=ZEraKwXx3qw","reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","duration":566},"parentClipId":"16729247296527920374","href":"/preview/16729247296527920374?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths","rawHref":"/video/preview/16729247296527920374?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"2479714228423395784":{"videoId":"2479714228423395784","title":"Understanding the Counting \u0007[Principle\u0007] | \u0007[Math\u0007] Made Easy","cleanTitle":"Understanding the Counting Principle | Math Made Easy","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=LOxhfwoGCfc","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/LOxhfwoGCfc?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDTVI1VmdyXzVpT3dMcnlSQWh0RVhmQQ==","name":"Wrestle with Math","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Wrestle+with+Math","origUrl":"http://www.youtube.com/@Wrestlewithmath","a11yText":"Wrestle with Math. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":196,"text":"3:16","a11yText":"Süre 3 dakika 16 saniye","shortText":"3 dk."},"views":{"text":"2bin","a11yText":"2 bin izleme"},"date":"20 mayıs 2018","modifyTime":1526774400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/LOxhfwoGCfc?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=LOxhfwoGCfc","reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","duration":196},"parentClipId":"2479714228423395784","href":"/preview/2479714228423395784?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths","rawHref":"/video/preview/2479714228423395784?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"13124734774382835020":{"videoId":"13124734774382835020","title":"\u0007[Principle\u0007] of Mathematical Induction Class 11 \u0007[Maths\u0007] JEE | Previous Year Questions PYQs' ...","cleanTitle":"Principle of Mathematical Induction Class 11 Maths JEE | Previous Year Questions PYQs' CBSE","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=NniDnLF7JVg","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/NniDnLF7JVg?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDRWczUEhWUjB2dDNhemJzX1FrXzZjdw==","name":"LearnoHub - Class 11, 12","isVerified":true,"subscribersCount":0,"url":"/video/search?text=LearnoHub+-+Class+11%2C+12","origUrl":"http://www.youtube.com/@LearnoHubClass1112","a11yText":"LearnoHub - Class 11, 12. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":3015,"text":"50:15","a11yText":"Süre 50 dakika 15 saniye","shortText":"50 dk."},"views":{"text":"1,8bin","a11yText":"1,8 bin izleme"},"date":"11 tem 2023","modifyTime":1689082210000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/NniDnLF7JVg?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=NniDnLF7JVg","reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","duration":3015},"parentClipId":"13124734774382835020","href":"/preview/13124734774382835020?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths","rawHref":"/video/preview/13124734774382835020?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"9292842312659087400":{"videoId":"9292842312659087400","title":"XI \u0007[Maths\u0007] | \u0007[Principle\u0007] of Mathematical Induction | Introduction and Ex. 4.1 by Divya Ma'...","cleanTitle":"XI Maths | Principle of Mathematical Induction | Introduction and Ex. 4.1 by Divya Ma'am","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=TKuPSintOSI","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/TKuPSintOSI?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDWVJiTzdYdUNfd2JLd3E4M0xWMVcwdw==","name":"Prof. D. R. Vij","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Prof.+D.+R.+Vij","origUrl":"http://www.youtube.com/@ProfDRVij","a11yText":"Prof. D. R. Vij. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1865,"text":"31:05","a11yText":"Süre 31 dakika 5 saniye","shortText":"31 dk."},"date":"2 haz 2018","modifyTime":1527897600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/TKuPSintOSI?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=TKuPSintOSI","reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","duration":1865},"parentClipId":"9292842312659087400","href":"/preview/9292842312659087400?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths","rawHref":"/video/preview/9292842312659087400?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"14117449247433690846":{"videoId":"14117449247433690846","title":"\u0007[Principle\u0007] of Mathematical Induction | Discrete \u0007[Mathematics\u0007] in English By GP Sir","cleanTitle":"Principle of Mathematical Induction | Discrete Mathematics in English By GP Sir","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=COHSSvyb0aA","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/COHSSvyb0aA?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDXzROb1ZBa1F6ZVNheENnbS10bzI1QQ==","name":"Dr.Gajendra Purohit","isVerified":true,"subscribersCount":0,"url":"/video/search?text=Dr.Gajendra+Purohit","origUrl":"http://www.youtube.com/@gajendrapurohit","a11yText":"Dr.Gajendra Purohit. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1180,"text":"19:40","a11yText":"Süre 19 dakika 40 saniye","shortText":"19 dk."},"views":{"text":"17,8bin","a11yText":"17,8 bin izleme"},"date":"22 tem 2024","modifyTime":1721606400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/COHSSvyb0aA?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=COHSSvyb0aA","reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","duration":1180},"parentClipId":"14117449247433690846","href":"/preview/14117449247433690846?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths","rawHref":"/video/preview/14117449247433690846?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"9493068173905662060":{"videoId":"9493068173905662060","title":"The Fundamental Counting \u0007[Principle\u0007] \u0007[Math\u0007] 30-2 Permutations Lesson 1","cleanTitle":"The Fundamental Counting Principle Math 30-2 Permutations Lesson 1","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=0fRGdcfj0Wg","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/0fRGdcfj0Wg?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDSTBqemFHTE8xbDJfMS00OHRhcDBNZw==","name":"edyumath","isVerified":false,"subscribersCount":0,"url":"/video/search?text=edyumath","origUrl":"http://www.youtube.com/@edyumath","a11yText":"edyumath. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1910,"text":"31:50","a11yText":"Süre 31 dakika 50 saniye","shortText":"31 dk."},"date":"12 tem 2025","modifyTime":1752278400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/0fRGdcfj0Wg?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=0fRGdcfj0Wg","reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","duration":1910},"parentClipId":"9493068173905662060","href":"/preview/9493068173905662060?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths","rawHref":"/video/preview/9493068173905662060?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"7178376288232686161":{"videoId":"7178376288232686161","title":"1st PUC \u0007[maths\u0007] \u0007[Principle\u0007] of Mathematical Induction in English|class 11 \u0007[maths\u0007] in English","cleanTitle":"1st PUC maths Principle of Mathematical Induction in English|class 11 maths in English","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=I3YBffsK83o","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/I3YBffsK83o?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDODQ4VFVHQ1J1QWtxMkJwcmRBZFBVZw==","name":"NCERT MathsTutor","isVerified":false,"subscribersCount":0,"url":"/video/search?text=NCERT+MathsTutor","origUrl":"http://www.youtube.com/@NCERTMathsTutor","a11yText":"NCERT MathsTutor. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":681,"text":"11:21","a11yText":"Süre 11 dakika 21 saniye","shortText":"11 dk."},"views":{"text":"21,2bin","a11yText":"21,2 bin izleme"},"date":"1 tem 2018","modifyTime":1530403200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/I3YBffsK83o?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=I3YBffsK83o","reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","duration":681},"parentClipId":"7178376288232686161","href":"/preview/7178376288232686161?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths","rawHref":"/video/preview/7178376288232686161?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"5961723417693686933":{"videoId":"5961723417693686933","title":"\u0007[Principle\u0007] of mathematical induction I class 11 \u0007[mathematics\u0007]","cleanTitle":"Principle of mathematical induction I class 11 mathematics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=uR_h7hEDjQA","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/uR_h7hEDjQA?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDeFJyUE8yMXk5VU9oMUFhb2o2LU9LQQ==","name":"Number Collage","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Number+Collage","origUrl":"http://www.youtube.com/@numbercollage5450","a11yText":"Number Collage. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1271,"text":"21:11","a11yText":"Süre 21 dakika 11 saniye","shortText":"21 dk."},"date":"13 mayıs 2022","modifyTime":1652400000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/uR_h7hEDjQA?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=uR_h7hEDjQA","reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","duration":1271},"parentClipId":"5961723417693686933","href":"/preview/5961723417693686933?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths","rawHref":"/video/preview/5961723417693686933?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"14013459296835282522":{"videoId":"14013459296835282522","title":"\u0007[Math\u0007] \u0007[Principles\u0007]: Paths on a Grid: Two Approaches","cleanTitle":"Math Principles: Paths on a Grid: Two Approaches","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=trIkPmwTSyA","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/trIkPmwTSyA?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDT1daeXNZeDczdXpXQ3lIZmVTcm9zUQ==","name":"readingrocks88","isVerified":false,"subscribersCount":0,"url":"/video/search?text=readingrocks88","origUrl":"https://www.youtube.com/channel/UCOWZysYx73uzWCyHfeSrosQ","a11yText":"readingrocks88. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":313,"text":"5:13","a11yText":"Süre 5 dakika 13 saniye","shortText":"5 dk."},"views":{"text":"61bin","a11yText":"61 bin izleme"},"date":"29 ara 2012","modifyTime":1356739200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/trIkPmwTSyA?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=trIkPmwTSyA","reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","duration":313},"parentClipId":"14013459296835282522","href":"/preview/14013459296835282522?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths","rawHref":"/video/preview/14013459296835282522?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"13089491564869946050":{"videoId":"13089491564869946050","title":"\u0007[Maths\u0007] Basic \u0007[Principles\u0007] | \u0007[Maths\u0007] for Class 5,6,7 | Sindh Text Book Board jamshoro | PST an...","cleanTitle":"Maths Basic Principles | Maths for Class 5,6,7 | Sindh Text Book Board jamshoro | PST and JEST MATH","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=PF_rAI_pTZw","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/PF_rAI_pTZw?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDNHo0MGxVS3luTzEwdUI4TEZ1UHc1Zw==","name":"Education & Technical Growth","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Education+%26+Technical+Growth","origUrl":"http://www.youtube.com/@EducationTechnicalGrowth","a11yText":"Education & Technical Growth. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1019,"text":"16:59","a11yText":"Süre 16 dakika 59 saniye","shortText":"16 dk."},"views":{"text":"1,3bin","a11yText":"1,3 bin izleme"},"date":"10 oca 2021","modifyTime":1610236800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/PF_rAI_pTZw?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=PF_rAI_pTZw","reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","duration":1019},"parentClipId":"13089491564869946050","href":"/preview/13089491564869946050?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths","rawHref":"/video/preview/13089491564869946050?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"3271720755341921405":{"videoId":"3271720755341921405","title":"Lec-14 class-12th( \u0007[math\u0007]) \u0007[principle\u0007] mathematical induction (PMI) Matrix","cleanTitle":"Lec-14 class-12th( math) principle mathematical induction (PMI) Matrix","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=u2BxH5G_Uqk","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/u2BxH5G_Uqk?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDUThNa2dvemRkb0ltdVNMWXNiMW9fQQ==","name":"Ravinder Nagar mathematics","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Ravinder+Nagar+mathematics","origUrl":"http://www.youtube.com/@ravindernagarmathematics9123","a11yText":"Ravinder Nagar mathematics. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":474,"text":"7:54","a11yText":"Süre 7 dakika 54 saniye","shortText":"7 dk."},"date":"9 mayıs 2020","modifyTime":1588982400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/u2BxH5G_Uqk?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=u2BxH5G_Uqk","reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","duration":474},"parentClipId":"3271720755341921405","href":"/preview/3271720755341921405?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths","rawHref":"/video/preview/3271720755341921405?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"405744457413752062":{"videoId":"405744457413752062","title":"2.1C - The Multiplication \u0007[Principle\u0007] - \u0007[MATH\u0007] 120","cleanTitle":"2.1C - The Multiplication Principle - MATH 120","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=DLNyC1EWyV0","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/DLNyC1EWyV0?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDOFA2MzBNQjA1NmQ3amRvbEc0eW9NQQ==","name":"Christopher Hanusa","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Christopher+Hanusa","origUrl":"http://www.youtube.com/@mathzorro","a11yText":"Christopher Hanusa. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":331,"text":"5:31","a11yText":"Süre 5 dakika 31 saniye","shortText":"5 dk."},"views":{"text":"3bin","a11yText":"3 bin izleme"},"date":"6 şub 2023","modifyTime":1675641600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/DLNyC1EWyV0?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=DLNyC1EWyV0","reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","duration":331},"parentClipId":"405744457413752062","href":"/preview/405744457413752062?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths","rawHref":"/video/preview/405744457413752062?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"3200354166785473669":{"videoId":"3200354166785473669","title":"SMBE : \u0007[Maths\u0007] , \u0007[Principle\u0007] of Mathematical Induction【P.M.I.】","cleanTitle":"SMBE : Maths , Principle of Mathematical Induction【P.M.I.】","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=XWkU4MCjHm8","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/XWkU4MCjHm8?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDelFmRTJyQXJoZUFqWXB3dTFmNGxldw==","name":"Sachin Bhargava, Mathematics Educator","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Sachin+Bhargava%2C+Mathematics+Educator","origUrl":"http://www.youtube.com/@sachinbhargavamathematicse34","a11yText":"Sachin Bhargava, Mathematics Educator. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1822,"text":"30:22","a11yText":"Süre 30 dakika 22 saniye","shortText":"30 dk."},"views":{"text":"1,5bin","a11yText":"1,5 bin izleme"},"date":"1 tem 2020","modifyTime":1593595810000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/XWkU4MCjHm8?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=XWkU4MCjHm8","reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","duration":1822},"parentClipId":"3200354166785473669","href":"/preview/3200354166785473669?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths","rawHref":"/video/preview/3200354166785473669?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"5851630637734794827":{"videoId":"5851630637734794827","title":"\u0007[Principle\u0007] of Mathematical Induction | All Types | PYQs | Discrete \u0007[Mathematics\u0007]","cleanTitle":"Principle of Mathematical Induction | All Types | PYQs | Discrete Mathematics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=h6DEq54mElA","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/h6DEq54mElA?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDN3h6MGl3RXFFYU9DVEJmdGNHVTZIUQ==","name":"Tending to Infinity","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Tending+to+Infinity","origUrl":"http://www.youtube.com/@TendingtoInfinity","a11yText":"Tending to Infinity. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":3617,"text":"1:00:17","a11yText":"Süre 1 saat 17 saniye","shortText":"1 sa."},"views":{"text":"11,6bin","a11yText":"11,6 bin izleme"},"date":"24 nis 2025","modifyTime":1745505006000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/h6DEq54mElA?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=h6DEq54mElA","reqid":"1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL","duration":3617},"parentClipId":"5851630637734794827","href":"/preview/5851630637734794827?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths","rawHref":"/video/preview/5851630637734794827?parent-reqid=1769500073196422-17317376938069155945-balancer-l7leveler-kubr-yp-klg-324-BAL&text=principle+maths","isEmbedOnly":false,"shouldPlayInstreamPreroll":false}}},"viewer":{"_isInitial":false,"clips":{"items":{},"dups":{},"loadingStatus":"None"},"internal":{"videoId":"","sandboxEventPrefix":"sandbox:","sandboxVersion":"0x001cd987dbd","isEmbedded":false,"from":"yavideo","service":"ya-video","hbPeriod":30,"table":"video_tech","isInstreamDisabled":false,"nonce":"3173769380691559457324","errorList":[],"isAdultAdv":false,"isImportantCommonAdv":false,"shouldShowAdvId":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"shouldValidateSandbox":false,"sandboxInitTimeout":15000,"isSSROnlyMastheadEnabled":true,"query":"principle maths","queryUriEscaped":"principle%20maths","filterMode":1,"isUserChild":false,"advInstreamConfig":{"regular":{"default":{"category":"2","impId":"7","partnerId":"2216089","vmapScenarioId":"119"}},"adult":{"default":{"category":"3","impId":"4","partnerId":"1988486","vmapScenarioId":"119"}}}},"playbackQueue":{"currentIndex":0,"items":[]},"related":{"items":[],"pages":[],"loadingStatus":"None","nextPageNum":0,"ncrnd":0},"playlist":{"items":{}},"delayedViews":{"ids":[],"loadingStatus":"None"}}}