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Özellikle güç seçeneklerinden \"yüksek performans\" seçeneğini kullanmanın bilgisayarın performansını %80 oranında artırabileceği vurgulanmaktadır."]},"endTime":746,"title":"Windows 10 Bilgisayarını Hızlandırma Rehberi","beginTime":0}],"fullResult":[{"index":0,"title":"Windows 10 Bilgisayarını Hızlandırma","list":{"type":"unordered","items":["Bu video, Windows 10 bilgisayarı birkaç ayar yaparak nasıl hızlandırabileceğinizi göstermektedir.","İlk adım olarak C diskine girip, Windows 7'den Windows 10'a geçtiyseniz \"Windows Old\" klasörünü silmek gerekmektedir."]},"beginTime":2,"endTime":41,"href":"/video/preview/9254993560335340500?parent-reqid=1769516474968429-39648281925713988-balancer-l7leveler-kubr-yp-klg-98-BAL&text=10codpro&t=2&ask_summarization=1"},{"index":1,"title":"Güvenlik ve Bakım Ayarları","list":{"type":"unordered","items":["Bilgisayara sağ tıklayıp özelliklerden güvenlik ve bakım seçeneğine gidip, kullanıcı hesabı denetim ayarlarını en alta getirmek bilgisayarı daha hızlı 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Sınıf Matematik - Permütasyon (Sıralama) | 2022 0:00 Videoda Neler Var? 0:31 Faktöriyel 21:43 Permütasyon (Sıralama) Yeni videolar için ► https://goo.gl/JpWdhc Hocalara Geldik Web Sitesi...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4303391/a4379012b402ec9a4f17632ebc3f4018/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/H-50NgEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"7","reqid":"1769516474968429-39648281925713988-balancer-l7leveler-kubr-yp-klg-98-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769516474968429-39648281925713988-balancer-l7leveler-kubr-yp-klg-98-BAL&text=videoid:10093078832230272612","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik öğretmeninin Koray adlı öğrencisiyle etkileşim halinde faktöriyel ve permütasyon konularını anlattığı bir eğitim içeriğidir.","Video, faktöriyel kavramının tanımı ve özellikleriyle başlayıp, faktöriyel içindeki belirli çarpanların sayısını bulma yöntemlerini örneklerle açıklamaktadır. Ardından permütasyon konusuna geçilerek \"n faktöriyel bölü n-r faktöriyel\" formülü kullanılarak çeşitli problemler çözülmektedir. Video, \"aksankur\" kelimesinin harfleriyle beş harfli kelime yazma ve sekiz kişilik bir ailede oturma gibi pratik örneklerle permütasyon konusunu pekiştirmektedir.","Videoda ayrıca faktöriyelde sadeleştirme yöntemleri, faktöriyelin karesi, bileşik sayıların faktöriyel içindeki çarpanlarının hesaplanması ve \"yan yana olma\" gibi özel durumlar ele alınmaktadır. Video, tekrarlı permütasyon ve kombinasyon konularının gelecek videolarda işleneceği bilgisiyle sonlanmaktadır."]},"endTime":2191,"title":"Matematik Dersi: Faktöriyel ve Permütasyon","beginTime":0}],"fullResult":[{"index":0,"title":"Faktöriyel ve Permütasyon Kavramları","list":{"type":"unordered","items":["Sayma ve ovasılık ünitesinde sayma kısmını bitirip faktöriyel ve permütasyon kısmına geçilecek.","Faktöriyel matematiğin temel kavramlarından biri olup, ileride birçok konuda kullanılacak.","Permütasyon sıralama demektir ve ileride göreceğimiz kombinasyon kavramıyla karıştırılır."]},"beginTime":0,"endTime":31,"href":"/video/preview/10093078832230272612?parent-reqid=1769516474968429-39648281925713988-balancer-l7leveler-kubr-yp-klg-98-BAL&text=10codpro&t=0&ask_summarization=1"},{"index":1,"title":"Faktöriyel Kavramı","list":{"type":"unordered","items":["Faktöriyel, n'den başlayıp geriye doğru giderek n'den bir'e kadar olan sayma sayılarının çarpımıdır.","1! ve 0! değeri 1'e eşittir.","Faktöriyel değerleri hesaplanabilir: 2! = 2, 3! = 6, 4! = 24, 5! = 120."]},"beginTime":31,"endTime":100,"href":"/video/preview/10093078832230272612?parent-reqid=1769516474968429-39648281925713988-balancer-l7leveler-kubr-yp-klg-98-BAL&text=10codpro&t=31&ask_summarization=1"},{"index":2,"title":"Faktöriyel Özellikleri","list":{"type":"unordered","items":["Faktöriyel değerleri birbirini içerebilir: 5! = 5 × 4!, 8! = 8 × 7!, n! = n × (n-1)!.","Faktöriyel, n tane nesnenin kendi arasında kaç farklı şekilde yer değiştirebileceğini gösterir.","0! = 1 çünkü hiç nesne olmadığı durumda da bir durum vardır."]},"beginTime":100,"endTime":237,"href":"/video/preview/10093078832230272612?parent-reqid=1769516474968429-39648281925713988-balancer-l7leveler-kubr-yp-klg-98-BAL&text=10codpro&t=100&ask_summarization=1"},{"index":3,"title":"Faktöriyel İşlemleri","list":{"type":"unordered","items":["Faktöriyel değerleri hesaplanırken pratik yollar kullanılabilir.","Faktöriyel işlemlerinde sadeleştirme yapılabilir: 8! / 6! = 8 × 7.","Faktöriyel ifadelerinde ortak çarpanlar parantezine alınabilir."]},"beginTime":237,"endTime":477,"href":"/video/preview/10093078832230272612?parent-reqid=1769516474968429-39648281925713988-balancer-l7leveler-kubr-yp-klg-98-BAL&text=10codpro&t=237&ask_summarization=1"},{"index":4,"title":"Faktöriyel Soruları","list":{"type":"unordered","items":["Faktöriyel ile ilgili karışık sorularda, faktöriyel değerlerinin çarpanlarına ayırılması önemlidir.","Bir sayının tam kare olması için, çarpanları çift sayıda olmalıdır.","8! × 70 ifadesi bir tam kare olacak şekilde en küçük tam sayı değeri 70'dir."]},"beginTime":477,"endTime":609,"href":"/video/preview/10093078832230272612?parent-reqid=1769516474968429-39648281925713988-balancer-l7leveler-kubr-yp-klg-98-BAL&text=10codpro&t=477&ask_summarization=1"},{"index":5,"title":"Faktöriyel Problemlerinde İspat Teknikleri","list":{"type":"unordered","items":["Karışık faktöriyel problemlerinde ilk adım kareleri iki kare farkı olarak ayırma veya içler dışlar çarpma uygulamaktır.","İçler dışlar çarpma uygulandığında, benzer terimler ortaya çıkar ve sadeleştirme işlemi yapılabilir.","Faktöriyel problemlerinde, karekök alma ve sadeleştirme teknikleri kullanılarak denklemler çözülebilir."]},"beginTime":615,"endTime":742,"href":"/video/preview/10093078832230272612?parent-reqid=1769516474968429-39648281925713988-balancer-l7leveler-kubr-yp-klg-98-BAL&text=10codpro&t=615&ask_summarization=1"},{"index":6,"title":"Faktöriyel İçerisindeki Çarpan Sayısı Problemleri","list":{"type":"unordered","items":["Geometrik şekillerin içine yazılan sayı, o faktöriyel içerisindeki belirli bir çarpan sayısını göstermektedir.","Bir faktöriyel içerisindeki belirli bir asal çarpan sayısını bulmak için, faktöriyel değerini o asal sayıya bölerek ve bölünen sonuçları toplayarak bulunabilir.","Bileşik çarpanlar için (örneğin 6), çarpanların asal çarpanlarına ayrılması ve en az sayıda bulunan asal çarpanın sayısının alınması gerekir."]},"beginTime":742,"endTime":858,"href":"/video/preview/10093078832230272612?parent-reqid=1769516474968429-39648281925713988-balancer-l7leveler-kubr-yp-klg-98-BAL&text=10codpro&t=742&ask_summarization=1"},{"index":7,"title":"Faktöriyel İçerisindeki Çarpan Sayısı Hesaplama Tekniği","list":{"type":"unordered","items":["Bir faktöriyel içerisindeki belirli bir asal çarpan sayısını bulmak için, faktöriyel değerini o asal sayıya bölerek ve bölünen sonuçları toplayarak bulunabilir.","Eğer bölme sonucu yine asal sayıya bölünebiliyorsa, bölme işlemi devam ettirilmelidir.","Bileşik çarpanlar için (örneğin 6), çarpanların asal çarpanlarına ayrılması ve en az sayıda bulunan asal çarpanın sayısının alınması gerekir."]},"beginTime":858,"endTime":1135,"href":"/video/preview/10093078832230272612?parent-reqid=1769516474968429-39648281925713988-balancer-l7leveler-kubr-yp-klg-98-BAL&text=10codpro&t=858&ask_summarization=1"},{"index":8,"title":"Faktöriyel Problemleri","list":{"type":"unordered","items":["72 faktöriyel içerisinde kaç tane 2 çarpanı var sorusuna çözüm için 72'ye 2 bölmeleri yapılır ve sonuç 35'tir.","Faktöriyel probleminde (a-1)!/(b+1)! = 30 eşitliğinde, b+1=29 ve a-1=30 olur, böylece a=31 ve b=28 bulunur.","Aynı problemde farklı çözüm için (a-1)! = 30×(b+1)! şeklinde yazıldığında, 30=6×5×4 faktöriyel şeklinde yazılabilir, bu durumda a=7 ve b=3 olur."]},"beginTime":1136,"endTime":1303,"href":"/video/preview/10093078832230272612?parent-reqid=1769516474968429-39648281925713988-balancer-l7leveler-kubr-yp-klg-98-BAL&text=10codpro&t=1136&ask_summarization=1"},{"index":9,"title":"Permütasyon Kavramı","list":{"type":"unordered","items":["Permütasyon, n adet nesnenin yan yana n! şeklinde sıralanmasıdır.","Yan yana olmak şartıyla sıralama yaparken, yan yana olmak istenen nesneler bir birim olarak düşünülür ve kalan nesnelerle birlikte sıralanır.","Yan yana olmayan nesneler için, tüm durumlar (n!)'den yan yana olan durumlar çıkarılır."]},"beginTime":1303,"endTime":1536,"href":"/video/preview/10093078832230272612?parent-reqid=1769516474968429-39648281925713988-balancer-l7leveler-kubr-yp-klg-98-BAL&text=10codpro&t=1303&ask_summarization=1"},{"index":10,"title":"Permütasyon Formülü","list":{"type":"unordered","items":["n elemanın farklı r tane elemanından oluşan dizilere n'in r'li permütasyonu denir.","Permütasyon formülü P(n,r) = n! / (n-r)! şeklindedir.","Permütasyonda aynı eleman bir kez kullanılır, tekrarsız sıralama yapılır."]},"beginTime":1536,"endTime":1604,"href":"/video/preview/10093078832230272612?parent-reqid=1769516474968429-39648281925713988-balancer-l7leveler-kubr-yp-klg-98-BAL&text=10codpro&t=1536&ask_summarization=1"},{"index":11,"title":"Permütasyon Örneği","list":{"type":"unordered","items":["6 elemanın ikili permütasyonları tek tek yazıldığında 30 farklı durum elde edilir.","P(6,2) formülü ile 6! / 4! = 6×5 = 30 sonucu bulunur.","Permütasyon hesaplamasında kısa yoldan 6'dan başlayıp 2 adım ilerletmek (6×5) veya 20'den başlayıp 3 adım ilerletmek (20×19×18) gibi yöntemler kullanılabilir."]},"beginTime":1604,"endTime":1722,"href":"/video/preview/10093078832230272612?parent-reqid=1769516474968429-39648281925713988-balancer-l7leveler-kubr-yp-klg-98-BAL&text=10codpro&t=1604&ask_summarization=1"},{"index":12,"title":"Permütasyon Problemleri","list":{"type":"unordered","items":["Permütasyon formülü kullanılarak n faktöriyel formülünün çözümü gösteriliyor.","252 sayısının çarpanlarına ayrılmasıyla 7×6² şeklinde ifade edilmesi ve n=7 olarak bulunması gösteriliyor.","Permütasyon formülünde n'nin 0'ı durumunda sonuç 1 olarak hesaplanıyor."]},"beginTime":1731,"endTime":1857,"href":"/video/preview/10093078832230272612?parent-reqid=1769516474968429-39648281925713988-balancer-l7leveler-kubr-yp-klg-98-BAL&text=10codpro&t=1731&ask_summarization=1"},{"index":13,"title":"Harfleri Kullanarak Kelime Oluşturma Problemi","list":{"type":"unordered","items":["\"Aksankur\" kelimesinin harflerini en çok bir kez kullanarak beş harfli anlamlı ya da anlamsız kelimelerin oluşturulması soruluyor.","Altı farklı harften beş tanesini sıralama problemi olarak 6P5 veya 6!/(6-5)! şeklinde çözülüyor.","Permütasyon formülünün 6 faktöriyel olarak hesaplanması ve sonucun 720 olduğu belirtiliyor."]},"beginTime":1857,"endTime":1955,"href":"/video/preview/10093078832230272612?parent-reqid=1769516474968429-39648281925713988-balancer-l7leveler-kubr-yp-klg-98-BAL&text=10codpro&t=1857&ask_summarization=1"},{"index":14,"title":"Yemek Masası Sıralama Problemi","list":{"type":"unordered","items":["Sekiz kişilik bir yemek masasında anne ile baba daima masanın kısa kenarında oturmakta ve Arzu ile Selim yan yana veya karşı karşıya oturmak istememekte.","Anne ile baba için 2! 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Video, binom konusunun zevkli ve kalıcı olduğunu vurgulayarak sona ermektedir."]},"endTime":1323,"title":"Pascal Üçgeni ve Binom Açılımı Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Pascal Üçgeni","list":{"type":"unordered","items":["Bu videoda Pascal üçgeni (Ömer Hayyam üçgeni olarak da bilinir) ve binom açılımı anlatılacaktır.","Pascal üçgeni, (a+b) ifadesinin kuvvetlerinde çıkan katsayıları gösteren bir üçgen elemanıdır.","Pascal üçgeni, en üstte 1 yazarak, sağ ve sol kenarları 1 olacak şekilde, her sayı üstteki iki sayının toplamı olarak oluşturulur."]},"beginTime":0,"endTime":96,"href":"/video/preview/1501754763387031365?parent-reqid=1769516474968429-39648281925713988-balancer-l7leveler-kubr-yp-klg-98-BAL&text=10codpro&t=0&ask_summarization=1"},{"index":1,"title":"Pascal Üçgeninin Özellikleri","list":{"type":"unordered","items":["Pascal üçgeninin oluşma mantığı, (x+y) ifadesinin kuvvetlerindeki katsayılarla ilgilidir.","Pascal üçgeninin elemanları kombinasyonlarla da elde edilebilir, örneğin n. kuvvet için n'in 0'dan n'ye kadar kombinasyonları kullanılır.","Pascal üçgeninin bir satırındaki sayıların toplamı, 2 üzeri o satırın kuvveti olarak hesaplanabilir."]},"beginTime":96,"endTime":259,"href":"/video/preview/1501754763387031365?parent-reqid=1769516474968429-39648281925713988-balancer-l7leveler-kubr-yp-klg-98-BAL&text=10codpro&t=96&ask_summarization=1"},{"index":2,"title":"Binom Açılımı","list":{"type":"unordered","items":["Binom açılımı, (x+y) ifadesinin n. kuvvetinin x'in azalan kuvvetlerine göre açılımıdır.","Binom açılımında x'in kuvvetleri giderek azalırken, y'nin kuvvetleri giderek artar.","(x+y) nin n. kuvvetinde n+1 tane terim oluşur ve her terimde x ve y'nin üslerinin toplamı n olur."]},"beginTime":259,"endTime":362,"href":"/video/preview/1501754763387031365?parent-reqid=1769516474968429-39648281925713988-balancer-l7leveler-kubr-yp-klg-98-BAL&text=10codpro&t=259&ask_summarization=1"},{"index":3,"title":"Binom Açılımının Uygulamaları","list":{"type":"unordered","items":["Binom açılımı kullanılarak (2x-3y)⁴ gibi ifadelerin açılımı yapılabilir.","Binom açılımında kombinasyon katsayıları hesaplanırken, kombinasyon kuralları kullanılır.","(x+y)⁶ gibi daha yüksek kuvvetler için, katsayıları hesaplarken kısa bir yöntem kullanılabilir: önce x'in kuvveti yazılır, sonra katsayılar (n×(n-1))/1, (n×(n-1)×(n-2))/2! 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Sınıf Matematik - Permütasyon Soru Çözümleri | 2022 Yeni videolar için ► https://goo.gl/JpWdhc Hocalara Geldik Web Sitesi : http://hocalarageldik.com/ Kitap ve ürünler için...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4265930/0826bfede77fd3fdff1f27191dd16559/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/HzwvPwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"16","reqid":"1769516474968429-39648281925713988-balancer-l7leveler-kubr-yp-klg-98-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769516474968429-39648281925713988-balancer-l7leveler-kubr-yp-klg-98-BAL&text=videoid:6148802612061368294","teaser":[{"list":{"type":"unordered","items":["Bu video, bir öğretmen/eğitmen tarafından sunulan matematik dersidir. Eğitmen, permütasyon ve kombinasyon konularını çeşitli örneklerle açıklamaktadır.","Video, permütasyon ve sayma yöntemleri ile kombinasyon konularını kapsamaktadır. İlk bölümde toplama ve çarpma yöntemleri ile permütasyon sıralama konuları ele alınırken, ikinci bölümde harf ve rakam kombinasyonlarıyla dört haneli sayılar oluşturma, üç basamaklı sayılar yazma gibi problemler çözülmektedir. Son bölümde ise anne-baba ve çocuklardan oluşan ailelerin sıralanması ve sayıların basamakları kullanılarak üç basamaklı sayıların yazılması gibi permütasyon problemleri adım adım açıklanmaktadır.","Videoda her problem için çözüm yöntemleri detaylı olarak gösterilmekte, öğrencilerin sık yaptığı hatalar vurgulanmakta ve \"en az bir sesli harf bulunur\" gibi karmaşık durumlarda farklı çözüm yolları sunulmaktadır."]},"endTime":1126,"title":"Permütasyon ve Kombinasyon Eğitim Videosu","beginTime":0}],"fullResult":[{"index":0,"title":"Sayma Yöntemleri ve Soru Çözümü","list":{"type":"unordered","items":["Video, permütasyon, saymanın temel prensipleri, toplama ve çarpma yöntemleri ile sayma konularını kapsayacak soru çözümlerini içerecek.","İlk soruda farklı desenlere sahip dört mavi ve üç yeşil gömlekten oluşan toplam yedi gömlekten birini seçme durumu inceleniyor.","Toplama yöntemiyle sayma, farklı desenlere sahip gömleklerin toplamı (4+3=7) olarak hesaplanıyor."]},"beginTime":0,"endTime":57,"href":"/video/preview/6148802612061368294?parent-reqid=1769516474968429-39648281925713988-balancer-l7leveler-kubr-yp-klg-98-BAL&text=10codpro&t=0&ask_summarization=1"},{"index":1,"title":"Özdeş Elemanlarla Sayma","list":{"type":"unordered","items":["Özdeş elemanlarla ilgili bir soruda, altı tane özdeş beyaz ve dört tane özdeş mavi gömleğin toplamda iki farklı şekilde seçilebileceği belirtiliyor.","Toplamda on gömlek olsa da, özdeş oldukları için sadece beyaz veya mavi olarak iki farklı seçenek bulunuyor."]},"beginTime":57,"endTime":97,"href":"/video/preview/6148802612061368294?parent-reqid=1769516474968429-39648281925713988-balancer-l7leveler-kubr-yp-klg-98-BAL&text=10codpro&t=57&ask_summarization=1"},{"index":2,"title":"Çarpma Yöntemi ve Sıralama","list":{"type":"unordered","items":["On erkek ve sekiz kız öğrenci arasından bir kız ve bir erkek seçme durumunda çarpma yöntemi kullanılıyor (8 x 10 = 80).","Seçilen iki kişiden birinin başkan, diğerinin başkan yardımcısı olması durumunda, sıralama için 80 x 2 = 160 sonuç elde ediliyor."]},"beginTime":97,"endTime":147,"href":"/video/preview/6148802612061368294?parent-reqid=1769516474968429-39648281925713988-balancer-l7leveler-kubr-yp-klg-98-BAL&text=10codpro&t=97&ask_summarization=1"},{"index":3,"title":"Şifre Oluşturma Problemi","list":{"type":"unordered","items":["Harf-rakam kombinasyonu ile dört haneli bir şifre oluşturulabilir ve her basamağa 8 harf ve 10 rakam seçeneği vardır.","Şifre oluşturulma şekli 8×10×8×10 = 6400 farklı şekilde yapılabilir."]},"beginTime":155,"endTime":199,"href":"/video/preview/6148802612061368294?parent-reqid=1769516474968429-39648281925713988-balancer-l7leveler-kubr-yp-klg-98-BAL&text=10codpro&t=155&ask_summarization=1"},{"index":4,"title":"Yol Seçimi Problemi","list":{"type":"unordered","items":["A'dan C'ye gitmek için doğrudan 4 farklı yol veya B'den geçerek gitmek mümkündür.","A'dan B'ye 3 farklı yol ve B'den C'ye 2 farklı yol olduğundan, B'den geçerek 3×2=6 farklı yol vardır.","Toplam 4+6=10 farklı yol vardır."]},"beginTime":199,"endTime":250,"href":"/video/preview/6148802612061368294?parent-reqid=1769516474968429-39648281925713988-balancer-l7leveler-kubr-yp-klg-98-BAL&text=10codpro&t=199&ask_summarization=1"},{"index":5,"title":"Rakamları Tekrar Sız Sayılar","list":{"type":"unordered","items":["Kümenin elemanlarını kullanarak üç basamaklı rakamları tekrarsız sayılar yazılabilir.","İlk basamak için 6 seçenek, ikinci basamak için 5 seçenek ve üçüncü basamak için 4 seçenek vardır.","Toplam 6×5×4=120 farklı sayı yazılabilir."]},"beginTime":250,"endTime":273,"href":"/video/preview/6148802612061368294?parent-reqid=1769516474968429-39648281925713988-balancer-l7leveler-kubr-yp-klg-98-BAL&text=10codpro&t=250&ask_summarization=1"},{"index":6,"title":"Sıfır İçeren Küme Problemi","list":{"type":"unordered","items":["Sıfır içeren kümenin elemanlarını kullanarak üç basamaklı rakamları tekrarsız sayılar yazılabilir.","İlk basamak için 6 seçenek, ikinci basamak için 6 seçenek ve üçüncü basamak için 5 seçenek vardır.","Toplam 6×6×5=180 farklı sayı yazılabilir."]},"beginTime":273,"endTime":306,"href":"/video/preview/6148802612061368294?parent-reqid=1769516474968429-39648281925713988-balancer-l7leveler-kubr-yp-klg-98-BAL&text=10codpro&t=273&ask_summarization=1"},{"index":7,"title":"Çift ve Tek Sayılar","list":{"type":"unordered","items":["Kümenin elemanlarını kullanarak üç basamaklı rakamları tekrarsız çift sayılar yazılabilir.","Son basamak için 3 seçenek (0, 2, 4), ikinci basamak için 5 seçenek ve ilk basamak için 4 seçenek vardır.","Toplam 3×5×4=60 farklı çift sayı yazılabilir."]},"beginTime":306,"endTime":397,"href":"/video/preview/6148802612061368294?parent-reqid=1769516474968429-39648281925713988-balancer-l7leveler-kubr-yp-klg-98-BAL&text=10codpro&t=306&ask_summarization=1"},{"index":8,"title":"Tek Sayılar","list":{"type":"unordered","items":["Kümenin elemanlarını kullanarak üç basamaklı rakamları tekrarsız tek sayılar yazılabilir.","Son basamak için 3 seçenek (1, 3, 5), ikinci basamak için 5 seçenek ve ilk basamak için 4 seçenek vardır.","Toplam 3×5×4=60 farklı tek sayı yazılabilir."]},"beginTime":397,"endTime":437,"href":"/video/preview/6148802612061368294?parent-reqid=1769516474968429-39648281925713988-balancer-l7leveler-kubr-yp-klg-98-BAL&text=10codpro&t=397&ask_summarization=1"},{"index":9,"title":"Belirli Aralıklar","list":{"type":"unordered","items":["Kümenin elemanlarını kullanarak üç basamaklı rakamları tekrarsız ve 2 ile 4 arasında (2'den büyük, 4'ten küçük) basamaklı sayılar yazılabilir.","İlk basamak için 2 seçenek (2 veya 3), ikinci basamak için 5 seçenek ve üçüncü basamak için 4 seçenek vardır.","Toplam 2×5×4=40 farklı sayı yazılabilir."]},"beginTime":437,"endTime":460,"href":"/video/preview/6148802612061368294?parent-reqid=1769516474968429-39648281925713988-balancer-l7leveler-kubr-yp-klg-98-BAL&text=10codpro&t=437&ask_summarization=1"},{"index":10,"title":"Kelime Oluşturma Problemi","list":{"type":"unordered","items":["Kümenin elemanlarını kullanarak harfleri tekrarsız dört harfli kelimeler yazılabilir.","Sesli harfle başlayan ve sessiz harfle biten kelimeler için ilk basamak 2 seçenek (a, e), son basamak 5 seçenek (b, c, d, f, g) ve orta basamaklar 5 ve 4 seçenek vardır.","Toplam 2×5×5×4=200 farklı kelime yazılabilir."]},"beginTime":460,"endTime":532,"href":"/video/preview/6148802612061368294?parent-reqid=1769516474968429-39648281925713988-balancer-l7leveler-kubr-yp-klg-98-BAL&text=10codpro&t=460&ask_summarization=1"},{"index":11,"title":"Sesli Harf İçeren Kelimeler","list":{"type":"unordered","items":["Kümenin elemanlarını kullanarak harfleri tekrarsız dört harfli kelimeler yazılacak ve en az bir sesli harf içeren kelimeler isteniyor.","Bir sesli harf içeren kelimeler için 4×2×5×4=160 farklı kombinasyon vardır.","İki sesli harf içeren kelimeler için 4×12×5×4=480 farklı kombinasyon vardır.","Toplam 160+480=640 farklı kelime yazılabilir."]},"beginTime":532,"endTime":706,"href":"/video/preview/6148802612061368294?parent-reqid=1769516474968429-39648281925713988-balancer-l7leveler-kubr-yp-klg-98-BAL&text=10codpro&t=532&ask_summarization=1"},{"index":12,"title":"Aile Sıralama Problemi","list":{"type":"unordered","items":["Anne, baba ve dört çocuktan oluşan bir ailede, anne ile baba arasında yalnızca bir çocuk olması koşuluyla sıralama yapılabilir.","Anne, baba ve bir çocuk bir paket olarak kabul edildiğinde, toplam 4 kişi sıralanabilir ve 4 faktöriyel farklı sıralama vardır.","Anne ile baba arasında olabilecek 4 farklı çocuk için toplam 4!×4=96 farklı sıralama vardır."]},"beginTime":706,"endTime":789,"href":"/video/preview/6148802612061368294?parent-reqid=1769516474968429-39648281925713988-balancer-l7leveler-kubr-yp-klg-98-BAL&text=10codpro&t=706&ask_summarization=1"},{"index":13,"title":"Permütasyon Problemleri","list":{"type":"unordered","items":["Permütasyon formülü kullanmadan pratik bir yöntemle P(n,r) hesaplanabilir.","P(7,2) hesaplanırken 7×6=42 sonucu elde edilir.","P(n,2)=n×(n-1) formülü kullanılarak n=6 bulunur."]},"beginTime":789,"endTime":935,"href":"/video/preview/6148802612061368294?parent-reqid=1769516474968429-39648281925713988-balancer-l7leveler-kubr-yp-klg-98-BAL&text=10codpro&t=789&ask_summarization=1"},{"index":14,"title":"Son Problemler","list":{"type":"unordered","items":["Beş kişi üç kişilik bir sıraya oturabilir ve 5×4×3=60 farklı oturma şekli vardır.","Anne ile babanın ayrı olması koşuluyla aile sıralanabilir ve 5×4×4!=120 farklı sıralama vardır.","Bir, iki, üç, dört, beş sayıların rakamları kullanılarak üç basamaklı rakamları tekrarsız sayılar yazılabilir."]},"beginTime":935,"endTime":1025,"href":"/video/preview/6148802612061368294?parent-reqid=1769516474968429-39648281925713988-balancer-l7leveler-kubr-yp-klg-98-BAL&text=10codpro&t=935&ask_summarization=1"},{"index":15,"title":"Sayı Sıralama Problemi Çözümü","list":{"type":"unordered","items":["Konuşmacı, beş farklı seçenekle yüz tane sayı yazabileceğini belirtiyor.","Yüz sayıyı beş'e böldüğünde, her on sayı bir rakamla başlıyor: yirmi tanesi bir ile, yirmi tanesi iki ile, yirmi tanesi üç ile, yirmi tanesi dört ile ve yirmi tanesi beş ile başlıyor.","Sayılar küçükten büyüğe doğru yazıldığında, üçyüziki sayısı kırkiki. sayı olarak belirleniyor."]},"beginTime":1031,"endTime":1096,"href":"/video/preview/6148802612061368294?parent-reqid=1769516474968429-39648281925713988-balancer-l7leveler-kubr-yp-klg-98-BAL&text=10codpro&t=1031&ask_summarization=1"},{"index":16,"title":"Çözüm Sonucu","list":{"type":"unordered","items":["Konuşmacı, kırkiki sayısını bulduğunu ve permütasyonla ilgili bir soruyu çözdüğünü belirtiyor.","Önden ve arkadan gideceklerini, soruları çözerek destek vermeye devam edeceklerini 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Sınıf Edebiyat - Türk Dili ve Edebiyatına Giriş -1 | 2022 0:00 Videoda Neler Var? 0:28 Edebiyat - Tarih İlişkisi 2:27 debiyat - Din İlişkisi 4:48 Türk Edebiyatının Tarihi Dönemleri Yeni...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/905851/f65e7ce25a3808c7ec3c4639c11a1b00/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/BBy7UgEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"17","reqid":"1769516474968429-39648281925713988-balancer-l7leveler-kubr-yp-klg-98-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769516474968429-39648281925713988-balancer-l7leveler-kubr-yp-klg-98-BAL&text=videoid:14601662655116068247","teaser":[{"list":{"type":"unordered","items":["Bu video, bir öğretmen ve Vural adlı bir hoca arasında geçen 10. sınıf Türk Dili ve Edebiyatı dersinin eğitim içeriğidir.","Video, edebiyat-tarih ve edebiyat-din ilişkisi ile Türk edebiyatının tarihsel dönemlerini kronolojik olarak ele almaktadır. İlk bölümde edebiyat ve tarih arasındaki ilişki, dinin edebiyata etkisi ve Türklerin İslamiyet öncesi, İslamiyet etkisi ve Batı etkisi dönemlerindeki edebi anlayışları incelenirken, ikinci bölümde Türk edebiyatının dönemlere ayrılmasındaki ölçütler ve tarihsel dönemler detaylı olarak anlatılmaktadır.","Türk edebiyatının tarihsel dönemleri İslam öncesi Türk edebiyatı (sözlü ve yazılı dönemler), İslam etkisindeki Türk edebiyatı (geçiş dönemi, divan edebiyatı ve halk edebiyatı) ve Batı etkisinde gelişen Türk edebiyatı (Tanzimat, Servet-i Fünun, Fecriati, Milli Edebiyat ve Cumhuriyet dönemi) olarak sınıflandırılmaktadır."]},"endTime":805,"title":"10. Sınıf Türk Dili ve Edebiyatı: Türk Edebiyatının Tarihi Dönemleri","beginTime":0}],"fullResult":[{"index":0,"title":"Edebiyat-Tarih İlişkisi","list":{"type":"unordered","items":["Edebiyat ve tarih arasında sıkı bir ilişki vardır; tarih sürecindeki yaşanan olaylar edebiyata yansıyabilir.","Edebiyat tarihten yararlanır ancak tarihi olayları olduğu gibi aktarmaz, yazarlar kurgu katıp kendi duygularını, hayallerini estetik bir şekilde aktarır.","Edebiyat tarihten yararlanırken aynı zamanda tarihe de kaynaklık eder; edebi metinlerde o dönemin yaşayışı, kültürü hakkında ipuçları edinebilirsiniz."]},"beginTime":28,"endTime":146,"href":"/video/preview/14601662655116068247?parent-reqid=1769516474968429-39648281925713988-balancer-l7leveler-kubr-yp-klg-98-BAL&text=10codpro&t=28&ask_summarization=1"},{"index":1,"title":"Edebiyat-Din İlişkisi","list":{"type":"unordered","items":["Din insanları etkileyen, ahlaki ve toplumsal düzen kurallarını belirleyen önemli bir bulgu olduğundan, edebiyata da etkisi vardır.","Türklerin edebiyatında İslamiyet öncesi dönemde gök tanrı inancı, şamanizm, maniheizm gibi inançların etkisi vardır.","İslamiyet kabulünden sonra edebiyata Arap edebiyatı etkisiyle beyit nazım birimi, aruz ölçüsü, Arapça ve Farsça sözcükler, yeni nazım şekilleri ve İslami konular girmiştir."]},"beginTime":146,"endTime":287,"href":"/video/preview/14601662655116068247?parent-reqid=1769516474968429-39648281925713988-balancer-l7leveler-kubr-yp-klg-98-BAL&text=10codpro&t=146&ask_summarization=1"},{"index":2,"title":"Türk Edebiyatının Tarihi Dönemleri","list":{"type":"unordered","items":["Türk edebiyatı üç ana devre olarak ayrılır: İslamiyet öncesi, İslamiyet etkisi ve Batı etkisi dönemleri.","Türk edebiyatının dönemlere ayrılmasındaki en önemli ölçütler din farklılaşması ve kültürel farklılaşmadır.","Coğrafi farklılaşma ve lehçe-şive farklılaşması da Türk edebiyatının farklılaşmasında etkili olmuştur; Türkiye edebiyatı, Azeri edebiyatı, Kırgız edebiyatı gibi farklı edebiyatlar oluşmuştur."]},"beginTime":287,"endTime":557,"href":"/video/preview/14601662655116068247?parent-reqid=1769516474968429-39648281925713988-balancer-l7leveler-kubr-yp-klg-98-BAL&text=10codpro&t=287&ask_summarization=1"},{"index":3,"title":"İslam öncesi Türk Edebiyatı","list":{"type":"unordered","items":["İslam öncesi Türk edebiyatının başlangıcı belirsiz olup, 10. yüzyıla kadar sürmüştür.","Bu dönem iki bölüme ayrılır: Sözlü dönem (başlangıçtan 8. yüzyıla kadar) ve yazılı dönem (8. yüzyıldan 10. yüzyıla kadar).","İlk yazılı belgeler Orhun abideleri (Göktürk kitabeleri) olarak 8. yüzyılda ortaya çıkmıştır."]},"beginTime":561,"endTime":612,"href":"/video/preview/14601662655116068247?parent-reqid=1769516474968429-39648281925713988-balancer-l7leveler-kubr-yp-klg-98-BAL&text=10codpro&t=561&ask_summarization=1"},{"index":4,"title":"İslam etkisindeki Türk Edebiyatı","list":{"type":"unordered","items":["İslam etkisindeki Türk edebiyatı 11. yüzyılda başlayıp 19. yüzyıla kadar sürmüştür.","Bu dönem geçiş dönemi, divan edebiyatı ve halk edebiyatı olmak üzere üç bölüme ayrılır.","Geçiş dönemi (11-12. yüzyıl) hem İslam öncesi hem İslam kültürünün etkisi altında, hem Türkçe hem Arapça ve Farsça kullanılarak yazılmış eserler içermektedir."]},"beginTime":612,"endTime":703,"href":"/video/preview/14601662655116068247?parent-reqid=1769516474968429-39648281925713988-balancer-l7leveler-kubr-yp-klg-98-BAL&text=10codpro&t=612&ask_summarization=1"},{"index":5,"title":"Batı etkisinde gelişen Türk Edebiyatı","list":{"type":"unordered","items":["Batı etkisinde gelişen Türk edebiyatı 19. yüzyılda başlamıştır.","Tanzimat dönemi (1861-1896), Servetifünun (1896-1901), Fecriati (1909-1912) ve Milli Edebiyat (1911-1923) olmak üzere farklı dönemler içermektedir.","Cumhuriyet dönemi (1923'den bugüne kadar) Türk edebiyatının son dönemidir ve hala devam etmektedir."]},"beginTime":703,"endTime":793,"href":"/video/preview/14601662655116068247?parent-reqid=1769516474968429-39648281925713988-balancer-l7leveler-kubr-yp-klg-98-BAL&text=10codpro&t=703&ask_summarization=1"}],"linkTemplate":"/video/preview/14601662655116068247?parent-reqid=1769516474968429-39648281925713988-balancer-l7leveler-kubr-yp-klg-98-BAL&text=10codpro&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"10. 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