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Yöntemi","list":{"type":"unordered","items":["Kıs amortisman yöntemi sadece binek otomobiller için ayrılan amortismanlar için kullanılır.","Binek otomobil, Türk Gümrük Tarife Cetvelinin 87,3 pozisyonunda \"insan taşımak üzere imal edilmiş, hem insan hem eşya taşıyabilen motorlu araçlar\" olarak tanımlanmıştır.","Bu yöntem, vergi indiriminin suistimalinin edilmemesi amacıyla uygulanmaktadır."]},"beginTime":1024,"endTime":1122,"href":"/video/preview/7791955056152731154?parent-reqid=1773953885892463-13845584135717945327-balancer-l7leveler-kubr-yp-klg-30-BAL&text=Duran+Learning&t=1024&ask_summarization=1"},{"index":11,"title":"Kıs Amortisman Yönteminin Özellikleri","list":{"type":"unordered","items":["Kıs amortisman yönteminde, amortismana tabi iktisadi kıymetlerin aktife girdiği hesap dönemi için ay kesri tam ay sayılarak kalan ayların süresi kadar amortisman ayrılır.","Normal amortisman yönteminde duran varlığın satın aldığı yıl dikkate alınırken, kıs amortisman yönteminde amortisman hesabı varlığın satın aldığı aydan itibaren başlar.","Kıs amortisman yönteminde ilk yıl amortisman payı, satın alınan ayın tamamı ile bir sonraki ayın tamamı üzerinden hesaplanır."]},"beginTime":1122,"endTime":1182,"href":"/video/preview/7791955056152731154?parent-reqid=1773953885892463-13845584135717945327-balancer-l7leveler-kubr-yp-klg-30-BAL&text=Duran+Learning&t=1122&ask_summarization=1"},{"index":12,"title":"Kıs Amortisman Yöntemi Örneği","list":{"type":"unordered","items":["İşletme yönetim hizmetlerinde kullanılmak üzere 60 bin TL değerindeki otomobili 7.11.2015 tarihinde satın almış ve kıs amortisman yöntemiyle 5 senelik amortismana tabi tutulmuştur.","İlk yıl 2 bin TL amortisman ayrılırken, sonraki yıllarda 12 bin TL amortisman ayrılır ve son yıl 22 bin TL amortisman payı ile birikmiş amortisman kaydı tamamlanır.","Kıs amortisman yönteminde ilk yıl daha düşük, son yıl daha yüksek amortisman payı ayrılırken, azalan bakiyeler yönteminde ilk yıl daha yüksek, son yıl daha düşük amortisman payı ayrılır."]},"beginTime":1182,"endTime":1414,"href":"/video/preview/7791955056152731154?parent-reqid=1773953885892463-13845584135717945327-balancer-l7leveler-kubr-yp-klg-30-BAL&text=Duran+Learning&t=1182&ask_summarization=1"},{"index":13,"title":"Amortisman Yöntemlerinin Karşılaştırılması","list":{"type":"unordered","items":["Normal amortismanda bir faydalı ömür, azalan bakiyelerde bir faydalı ömür çarpı iki ve bakiyeler birbirinden düşürülerek hesaplanır.","Kıs amortismanda sadece binek otomobiller için uygulanmakta ve ilk yıl için kırk yıl kadar amortisman ayrılır.","Maliye Bakanlığı tarafından faydalı ömür tablosu yayınlanır ve bu tabloya uygun işlemler yürütülmekte."]},"beginTime":1414,"endTime":1463,"href":"/video/preview/7791955056152731154?parent-reqid=1773953885892463-13845584135717945327-balancer-l7leveler-kubr-yp-klg-30-BAL&text=Duran+Learning&t=1414&ask_summarization=1"},{"index":14,"title":"Amortismana Tabi Maddi Duran Varlıkların Satış İşlemleri","list":{"type":"unordered","items":["Amortismana tabi maddi duran varlıklar, faydalı ömürlerini tamamlamadan satılabilirler.","Satış durumunda 257 nolu birikmiş amortismanlar hesabında biriken bakiye borçlandırılır ve ilgili varlığın amortisman bakiyesi kapatılır.","Satış sonucu oluşan kar veya zarar işletmenin ana faaliyet konusu içerisinde olmadığı için 679 diğer olağandışı gelir ve karlar ya da 689 diğer olağandışı gider ve zararlar hesaplarında kayıt altına alınır."]},"beginTime":1474,"endTime":1611,"href":"/video/preview/7791955056152731154?parent-reqid=1773953885892463-13845584135717945327-balancer-l7leveler-kubr-yp-klg-30-BAL&text=Duran+Learning&t=1474&ask_summarization=1"},{"index":15,"title":"Örnek Soru Çözümü","list":{"type":"unordered","items":["400 bin TL'ye satın alınan ve üretimde kullanılan makinenin 320 bin TL birikmiş amortisman kaydı bulunmaktadır.","Makine 240 bin TL'ye satıldığında, 257 birikmiş amortismanlar hesabı 320 bin TL borçlandırılarak kapatılır ve 253 tesis, makine ve cihazlar hesabı 400 bin TL alacaklandırılarak makinanın elden çıkarılması gerçekleştirilir.","Aradaki fark olan 160 bin TL kar, işletmenin esas faaliyet konusu dışında elde ettiği için 679 diğer olağandışı gelir ve karlar hesabının alacağına kaydedilir."]},"beginTime":1611,"endTime":1893,"href":"/video/preview/7791955056152731154?parent-reqid=1773953885892463-13845584135717945327-balancer-l7leveler-kubr-yp-klg-30-BAL&text=Duran+Learning&t=1611&ask_summarization=1"},{"index":16,"title":"Amortismanların Önemi","list":{"type":"unordered","items":["Amortismanlar 25 duran varlıklar hesap grubunda bulunmakta ve bu hesap grubu içerisinde duran varlıklar için amortisman ayrılmaktadır.","Amortisman konusu önemli olduğu için aklınıza takılan her türlü konuda amortismanla ilgili mail atabilirsiniz."]},"beginTime":1893,"endTime":1918,"href":"/video/preview/7791955056152731154?parent-reqid=1773953885892463-13845584135717945327-balancer-l7leveler-kubr-yp-klg-30-BAL&text=Duran+Learning&t=1893&ask_summarization=1"}],"linkTemplate":"/video/preview/7791955056152731154?parent-reqid=1773953885892463-13845584135717945327-balancer-l7leveler-kubr-yp-klg-30-BAL&text=Duran+Learning&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Genel Muhasebe (17) – Muhasebe Hesapları - II. 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Üniversitesi – https://sinop.edu.tr/ Sinuzem - Sinop Üniversitesi Uzaktan Eğitim Uygulama ve Araştırma Merkezi https://sinuzem.sinop.edu.tr/ Video ve ders içeriği ile ilgili her türlü...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/402859/805c6234b4e46efc88c82bc7326c56fb/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/1CzODgEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"2","reqid":"1773953885892463-13845584135717945327-balancer-l7leveler-kubr-yp-klg-30-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1773953885892463-13845584135717945327-balancer-l7leveler-kubr-yp-klg-30-BAL&text=videoid:15128188059932605040","teaser":[{"list":{"type":"unordered","items":["Bu video, Erhan Gürle tarafından sunulan bir genel muhasebe dersidir. Eğitmen, maddi olmayan duran varlıklar hesap grubunu detaylı şekilde anlatmaktadır.","Videoda maddi olmayan duran varlıklar hesap grubunun tanımı yapılarak, alt hesapları (260 Haklar, 261 Şerefiye, 262 Kuruluş ve Örgütlenme Giderleri, 263 Araştırma ve Geliştirme Giderleri, 264 Özel Maliyetler, 267 Diğer Maddi Olmayan Duran Varlıklar, 268 Birikmiş Amortismanlar, 269 Verilen Avanslar) detaylı olarak açıklanmaktadır. Her bir hesap için örnekler verilerek, bu hesapların nasıl kaydedileceği ve amortisman hesaplamaları nasıl yapılacağı gösterilmektedir.","Videoda ayrıca normal amortisman yöntemi ve direkt kayıt yöntemi arasındaki farklar örneklerle açıklanmakta, iş yerinden ayrılma durumunda asansörlerin amortisman kayıtlarının nasıl yapılacağı ve dekorasyon yaptırma örneği üzerinden verilen avansların nasıl kullanılacağı gösterilmektedir."]},"endTime":1630,"title":"Genel Muhasebe Dersi: Maddi Olmayan Duran Varlıklar","beginTime":0}],"fullResult":[{"index":0,"title":"Maddi Olmayan Duran Varlıklar Hesap Sınıfı","list":{"type":"unordered","items":["Maddi olmayan duran varlıklar, fiziksel karşılığı bulunmayan ve işletmenin yararlandığı veya yararlanmayı beklediği aktifleştirilen giderler ile hukuken himaye gören haklar ve şerefiyelerin izlendiği hesap grubudur.","Patent, lisans, işletme hakkı, işletme ünvanı, marka, telif hakkı ve şerefiye bu hesaba kaydedilen varlıklara örnek olarak gösterilebilir.","Bu tür varlıklar işletme tarafından bir bedel karşılığında satın alınmış olabileceği gibi, işletme tarafından oluşturulmuş da olabilmektedir."]},"beginTime":1,"endTime":95,"href":"/video/preview/15128188059932605040?parent-reqid=1773953885892463-13845584135717945327-balancer-l7leveler-kubr-yp-klg-30-BAL&text=Duran+Learning&t=1&ask_summarization=1"},{"index":1,"title":"Maddi Olmayan Duran Varlıklar Hesap Grubu","list":{"type":"unordered","items":["Maddi olmayan duran varlıklar hesap grubunda 260 haklar, 261 şerefiye, 262 kuruluş ve örgütlenme giderleri, 263 araştırma ve geliştirme giderleri, 264 özel maliyetler, 267 diğer maddi olmayan duran varlıklar, 268 birikmiş amortismanlar ve 269 verilen avanslar hesapları bulunmaktadır.","Haklar hesabı, imtiyaz, patent, lisans, ticari marka ve unvan gibi bir bedel ödenerek elde edilen hukuki tasarruflar ve kamu otoritelerinin işletmeye tanıdığı yetkiler dolayısıyla yapılan harcamaları kapsamaktadır.","Haklar hesabı amortismana tabidir ve yararlanma süresi belirtilmedikçe beş yıllık amortisman hesaplaması yapılır."]},"beginTime":95,"endTime":240,"href":"/video/preview/15128188059932605040?parent-reqid=1773953885892463-13845584135717945327-balancer-l7leveler-kubr-yp-klg-30-BAL&text=Duran+Learning&t=95&ask_summarization=1"},{"index":2,"title":"Şerefiye Hesabı","list":{"type":"unordered","items":["Şerefiye hesabı, bir işletme devralınırken katlanılan maliyet ile rayiç bedelle hesaplanan net varlıklarının değeri arasındaki olumlu farkların izlenmesinde kullanılır.","Şerefiye hesaplanırken rayiç bedelin tespit edilmesi halinde net defter değeri esas alınır.","Şerefiye, işletme satın alındığında varlıkların toplam değeri ile satış fiyatı arasındaki farktır."]},"beginTime":240,"endTime":408,"href":"/video/preview/15128188059932605040?parent-reqid=1773953885892463-13845584135717945327-balancer-l7leveler-kubr-yp-klg-30-BAL&text=Duran+Learning&t=240&ask_summarization=1"},{"index":3,"title":"Kuruluş ve Örgütlenme Giderleri","list":{"type":"unordered","items":["Kuruluş ve örgütlenme giderleri hesabı, işletmenin kuruluşu veya yeni bir şubenin açılması, işlerin genişletilmesi sırasında yapılan ve karşılığında maddi değer elde edilmeyen giderleri izler.","Bu hesapta ayrıca personelin eğitimi ve temini sırasında oluşan masraflar da kayıt altına alınır.","Kuruluş ve örgütlenme giderleri amortismana tabidir ve genellikle beş yılda eşit taksitlerle itfa edilirler."]},"beginTime":408,"endTime":568,"href":"/video/preview/15128188059932605040?parent-reqid=1773953885892463-13845584135717945327-balancer-l7leveler-kubr-yp-klg-30-BAL&text=Duran+Learning&t=408&ask_summarization=1"},{"index":4,"title":"Araştırma ve Geliştirme Giderleri","list":{"type":"unordered","items":["Araştırma ve geliştirme giderleri hesabı, işletme bünyesinde yeni ürünlerin üretilebilmesi için yapılan araştırma ve geliştirme giderlerini izler.","Bu giderler amortismana tabidir ve aksi belirtilmedikçe genellikle beş yıl içerisinde itfa edilirler.","Eğer AR-GE giderleri aktifleştirilmiyorsa 750 araştırma-geliştirme giderleri hesabı kullanılır ve dönem sonunda 630 araştırma ve geliştirme giderleri hesabına aktarılır."]},"beginTime":568,"endTime":708,"href":"/video/preview/15128188059932605040?parent-reqid=1773953885892463-13845584135717945327-balancer-l7leveler-kubr-yp-klg-30-BAL&text=Duran+Learning&t=568&ask_summarization=1"},{"index":5,"title":"Araştırma Geliştirme Giderleri Hesabı","list":{"type":"unordered","items":["Kaynak transferini aktifleştirdiğinde 263 araştırma geliştirme giderleri hesabına 260 bin TL borçlu değer girişi yapılır ve 102 bankalar hesabı 260 bin TL alacak kaydı olur.","Araştırma geliştirme giderleri daha sonrasında yıllar itibariyle itfa edilebilir."]},"beginTime":715,"endTime":764,"href":"/video/preview/15128188059932605040?parent-reqid=1773953885892463-13845584135717945327-balancer-l7leveler-kubr-yp-klg-30-BAL&text=Duran+Learning&t=715&ask_summarization=1"},{"index":6,"title":"Özel Maliyetler Hesabı","list":{"type":"unordered","items":["Özel maliyetler hesabı, kiralanan gayrimenkullerin geliştirilmesi, ekonomik değerinin artırılması amacıyla yapılan giderler ve kira süresinin sonunda mal sahibine bırakılacak varlıkların bedellerini kapsar.","Bakım, onarım, temizleme giderleri normal olması gereken giderler olduğu için 264 hesapta izlenmez.","Yapılan harcamalar hesaba borç kaydedilir ve kira süresi beş yıldan fazla ise beş yılda eşit tutarlarda amortisman ayrılır."]},"beginTime":764,"endTime":866,"href":"/video/preview/15128188059932605040?parent-reqid=1773953885892463-13845584135717945327-balancer-l7leveler-kubr-yp-klg-30-BAL&text=Duran+Learning&t=764&ask_summarization=1"},{"index":7,"title":"Özel Maliyetler Örneği","list":{"type":"unordered","items":["Tasarım Limited Şirketi kiralamış olduğu iş yerinin aydınlatma sistemini değiştirmiş ve nakit olarak 2.400 TL ödeme yapmıştır.","Kayıtta 264 özel maliyetler hesabına 2.400 TL borç kaydı, 191 indirilecek KDV hesabına 432 TL borç kaydı ve 102 bankalar hesabına 2.832 TL alacak kaydı yapılır.","Yapılan 2.400 TL'lik harcama, kira sözleşmesi iki yıllık ise 1.200 TL, bir yıllıksa doğrudan bu senenin amortisman kaydına atılabilir."]},"beginTime":866,"endTime":953,"href":"/video/preview/15128188059932605040?parent-reqid=1773953885892463-13845584135717945327-balancer-l7leveler-kubr-yp-klg-30-BAL&text=Duran+Learning&t=866&ask_summarization=1"},{"index":8,"title":"Diğer Maddi Olmayan Duran Varlıklar Hesabı","list":{"type":"unordered","items":["Diğer maddi olmayan duran varlıklar hesabı, 260 ve 264 nolu hesapların konusu olmayan, fiziksel varlığa sahip olmayan duran varlıkların takibi için kullanılır.","Aksi belirtilmedikçe birkaç yıl boyunca beş yıl süreyle itfa edilmektedir.","Örnek olarak Afacan Teknoloji A.Ş. satın almış olduğu 40 adet Microsoft Windows 10 işletim sistemi için banka yoluyla 12.000 TL ödeme yapmıştır."]},"beginTime":953,"endTime":1001,"href":"/video/preview/15128188059932605040?parent-reqid=1773953885892463-13845584135717945327-balancer-l7leveler-kubr-yp-klg-30-BAL&text=Duran+Learning&t=953&ask_summarization=1"},{"index":9,"title":"Diğer Maddi Olmayan Duran Varlıklar Örneği","list":{"type":"unordered","items":["Kayıtta 267 diğer maddi olmayan duran varlıklar hesabına 12.000 TL borç kaydı, 191 indirilecek KDV hesabına 2.160 TL borç kaydı ve 102 bankalar hesabına 14.160 TL alacak kaydı yapılır."]},"beginTime":1001,"endTime":1065,"href":"/video/preview/15128188059932605040?parent-reqid=1773953885892463-13845584135717945327-balancer-l7leveler-kubr-yp-klg-30-BAL&text=Duran+Learning&t=1001&ask_summarization=1"},{"index":10,"title":"Birikmiş Amortismanlar Hesabı","list":{"type":"unordered","items":["Birikmiş amortismanlar hesabı, maddi olmayan duran varlık bedellerinin kullanılabilecekleri süre içerisinde itfa yani yok edilebilmesini sağlamak amacıyla kullanılan amortisman hesabıdır.","Ayrılan amortismanlar ilgili gider hesapları karşılığında bu hesaba alacak kaydedilir.","Kullanım hakkı sona erenler ya da elden çıkartılan varlıklar hesaba borç ile ilgili varlık hesabına alacak kaydedilerek maddi olmayan duran varlık hesabı sıfırlanır."]},"beginTime":1065,"endTime":1125,"href":"/video/preview/15128188059932605040?parent-reqid=1773953885892463-13845584135717945327-balancer-l7leveler-kubr-yp-klg-30-BAL&text=Duran+Learning&t=1065&ask_summarization=1"},{"index":11,"title":"Birikmiş Amortismanlar Örneği","list":{"type":"unordered","items":["Giyim Şirketi satış yapmak amacıyla kiralamış olduğu iş yerine 2016 yılında 4.000 TL tutarında raf sistemi yaptırmıştır.","Normal amortisman yöntemine göre dört senelik amortisman ayrılmıştır, bu da yıllık 1.000 TL amortisman ayrılması demektir.","Raf sistemi için 760 pazarlama, satış ve dağıtım giderleri hesabına 1.000 TL borç kaydı ve 268 birikmiş amortismanlar hesabı 1.000 TL alacak kaydı yapılır."]},"beginTime":1125,"endTime":1258,"href":"/video/preview/15128188059932605040?parent-reqid=1773953885892463-13845584135717945327-balancer-l7leveler-kubr-yp-klg-30-BAL&text=Duran+Learning&t=1125&ask_summarization=1"},{"index":12,"title":"İş Yerinden Ayrılma Durumunda Amortisman Kayıtları","list":{"type":"unordered","items":["Bir işletme kira süresi bittiğinde sözleşmesini yenilememiş ve yeni asansörler için 40 bin TL harcama yapmış, ayrılma tarihinde asansörlerin birikmiş amortisman rakamı 32 bin TL'dir.","İşletme süresinden önce ayrılmışsa, 268 birikmiş amortismanlarda biriken bakiyeye 32 bin TL borç kaydı atılır.","Ayrılmayan 8 bin TL amortisman, işletmenin katlanmış olduğu maliyetler 689 diğer olağandışı gider ve zararlar hesabına kaydedilir.","264 özel maliyetler hesabına 40 bin TL alacak kaydı atılarak asansörler için yapılan maliyet masrafları sıfırlanır."]},"beginTime":1260,"endTime":1393,"href":"/video/preview/15128188059932605040?parent-reqid=1773953885892463-13845584135717945327-balancer-l7leveler-kubr-yp-klg-30-BAL&text=Duran+Learning&t=1260&ask_summarization=1"},{"index":13,"title":"Verilen Avanslar ve Maddi Olmayan Duran Varlıklar Hesabı","list":{"type":"unordered","items":["269 verilen avanslar ve maddi olmayan duran varlıkların satın almak için yapılan avans ödemeleri bu hesapta izlenmektedir.","Ödeme yapıldığında hesaba borç, varlıklar elde edildiğinde ise ilgili hesabın borcu karşılığında bu hesaba alacak kaydedilir.","Satar Limited Şirketi 10,4.2019 tarihinde yeni kiraladığı iş yerine dekorasyon yaptırmak için 10.000 TL'ye anlaşmış ve 3.000 TL'sini avans olarak firmaya nakit olarak vermiştir.","1,5.2019 tarihinde dekorasyon tamamlanıyor ve avans mahsup edilerek borcun kalanında satıcıya peşin olarak ödenmiştir."]},"beginTime":1393,"endTime":1477,"href":"/video/preview/15128188059932605040?parent-reqid=1773953885892463-13845584135717945327-balancer-l7leveler-kubr-yp-klg-30-BAL&text=Duran+Learning&t=1393&ask_summarization=1"},{"index":14,"title":"Avans Ödeme Kayıtları","list":{"type":"unordered","items":["10,4.2019 tarihli kayıtta 269 verilen avanslar hesabına 3.000 TL borç kaydı atılır ve 100 Kasa hesabından 3.000 TL alacak kaydı yapılır.","1,5.2019 tarihli kayıtta 264 özel maliyetler hesabına 10.000 TL borç kaydı atılır ve KDV'si 1.800 TL borç kaydı yapılır.","Avans mahsup edilerek 269 verilen avanslar hesabına 3.000 TL alacak kaydı yapılır ve 100 Kasa hesabından 8.800 TL alacak kaydı 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Ardından permütasyon kavramı ve P(n,r) formülü açıklanmakta, son olarak kombinasyon formülü ve pratik kullanım örnekleri sunulmaktadır. Öğretmen, konuları adım adım ve örneklerle anlatmakta, öğrencilere soru-cevap şeklinde açıklamalar yapmaktadır.","Videoda faktöriyelin permütasyon ile ilişkisi, kombinasyon formülünün \"n'ler r'ye o kadar olan sayıların çarpımı\" olarak tanımlanması ve beşten aşağı doğru tam üç kez çarpan yazma gibi pratik örnekler verilmektedir."]},"endTime":1104,"title":"Matematik Dersinde Faktöriyel, Permütasyon ve Kombinasyon","beginTime":0}],"fullResult":[{"index":0,"title":"Faktöriyel Kavramı","list":{"type":"unordered","items":["Faktöriyel, bir doğal sayı olmak üzere 1'den n'ye kadar olan sayıların çarpımına denir ve n! şeklinde gösterilir.","Faktöriyel hesaplamalarında genellikle büyükten küçüğe doğru azalma yapılır, örneğin 6! = 6×5! şeklinde yazılabilir.","Faktöriyel hesaplamalarında sonu sıfır olan sayılarla çarpma işlemi yapmak zaman kaybına neden olabilir, bu nedenle mümkünse sonu sıfır olan sayıları çarpmamak daha kolaydır."]},"beginTime":0,"endTime":149,"href":"/video/preview/288576290722273318?parent-reqid=1773953885892463-13845584135717945327-balancer-l7leveler-kubr-yp-klg-30-BAL&text=Duran+Learning&t=0&ask_summarization=1"},{"index":1,"title":"Faktöriyel Örnekleri","list":{"type":"unordered","items":["5! = 5×4×3×2×1 = 120 olarak hesaplanır.","Faktöriyel hesaplamalarında, bilinen faktöriyel değerlerini kullanarak yeni faktöriyel değerlerini hızlıca bulabiliriz.","Faktöriyel ifadelerinde sadeleştirme yaparak hesaplamaları kolaylaştırabiliriz, örneğin 10! / 9! - 7! = 10! / 7! × (10 - 1) = 10! / 7! × 9 = 720/71 olarak hesaplanır."]},"beginTime":149,"endTime":508,"href":"/video/preview/288576290722273318?parent-reqid=1773953885892463-13845584135717945327-balancer-l7leveler-kubr-yp-klg-30-BAL&text=Duran+Learning&t=149&ask_summarization=1"},{"index":2,"title":"Permütasyon Kavramı","list":{"type":"unordered","items":["Permütasyon, n tane nesnenin düz bir sıraya n! farklı şekilde sıralanması demektir.","n tane nesneden r tanesinin sıralamasına permütasyon denir ve P(n,r) şeklinde gösterilir, burada r kesinlikle n'den küçük ya da eşit olmalıdır.","P(n,r) = n! / (n-r)! formülü kullanılarak permütasyon hesaplamaları yapılır."]},"beginTime":508,"endTime":703,"href":"/video/preview/288576290722273318?parent-reqid=1773953885892463-13845584135717945327-balancer-l7leveler-kubr-yp-klg-30-BAL&text=Duran+Learning&t=508&ask_summarization=1"},{"index":3,"title":"Permütasyon Örnekleri","list":{"type":"unordered","items":["P(5,3) = 5! / 3! = 120 / 2 = 60 farklı şekilde sıralanabilir.","P(n,0) = 1 ve P(n,1) = n olarak hesaplanır.","P(n,n-1) = n olarak hesaplanır, bu formül P(n,1) formülünden türetilebilir."]},"beginTime":703,"endTime":955,"href":"/video/preview/288576290722273318?parent-reqid=1773953885892463-13845584135717945327-balancer-l7leveler-kubr-yp-klg-30-BAL&text=Duran+Learning&t=703&ask_summarization=1"},{"index":4,"title":"Pratik Çarpım Formülü","list":{"type":"unordered","items":["Konuşmacı, her defasında formülü uygulamak yerine pratik bir yöntem öneriyor.","Pratik yöntemde, sayıların küçük sayıya benzetilmesi ve bazı değerlerin değiştirilmesi gerekiyor.","Bu yöntem sayesinde 5×4×3×2 gibi çarpımlar pratik bir şekilde yazılabilir."]},"beginTime":967,"endTime":1020,"href":"/video/preview/288576290722273318?parent-reqid=1773953885892463-13845584135717945327-balancer-l7leveler-kubr-yp-klg-30-BAL&text=Duran+Learning&t=967&ask_summarization=1"},{"index":5,"title":"Formülün Açıklaması","list":{"type":"unordered","items":["Formül, n'ler r'ye o kadar olan sayıların çarpımı şeklinde yazılmasını gerektiriyor.","Örneğin, 5×3×5 çarpımı için 5'ten aşağıya doğru tam üç kez çarpan yazılması gerekiyor.","Formülde, sayıdan başlayıp kaça kadar yazılacağı, yazılan çarpan sayısına göre belirleniyor."]},"beginTime":1020,"endTime":1102,"href":"/video/preview/288576290722273318?parent-reqid=1773953885892463-13845584135717945327-balancer-l7leveler-kubr-yp-klg-30-BAL&text=Duran+Learning&t=1020&ask_summarization=1"}],"linkTemplate":"/video/preview/288576290722273318?parent-reqid=1773953885892463-13845584135717945327-balancer-l7leveler-kubr-yp-klg-30-BAL&text=Duran+Learning&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"10. 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