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Kombinatorikaning asosiy qoidalari

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Kombinatorika asoslar

Created by

Iroda Mahammadiyeva
Iroda Mahammadiyeva
Uzbekistan

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Kombinatorikaning asosiy qoidalari
 

Kombinatorikaning asosiy qoidalariOnline version

Kombinatorika asoslar

by Iroda Mahammadiyeva
1

Biror n elementdan zarrursiz tartibda tanlanadigan k elementli yozuvlarning soni qanday hisoblanadi?

2

N elementdan tanlab olingan, tartibga kiritilmagan k element soni qanday ifodalanadi?

3

Agar 5 xonada 5 xil formula bilan raqobat bo‘lsa, barcha mumkin bo‘lgan tartiblar soni qanday? (5!)

4

K elementli litze n-elementlik to‘plamdan tanlanadi, lekin tartib muhim bo‘lmasa: qaysi formula ishlatiladi?

5

Ikki xil belgilar bilan chiqadigan 3-elementli ketma-ketliklarning soni qanchaga teng?

6

Bir doira ichida 4 doira qachon bo‘lsa 2 ning kombinatsiyasini o‘zgartirmasdan tanlasa, jami nechta farqli tasodifiy tanlov bo‘ladi?

7

Qanday hollarda n! ning bo‘linmalari ko‘paytiriladi? (Factorial uchta qo‘llanma)

8

Takrorlanadigan elementlardan iborat amboyina bilan n-elementli yozuvlar soni qanday hisoblanadi?

9

Binomial teoremaga ko‘ra (a+b)^n ning yig‘indisini eng qisqa tarjimada qachon ifodalanadi?

10

Oraliq ichida 10 uchburchak shaklida uch xil rangli bo‘g‘inlar, necha usul bo‘ladi, agar har bir bo‘g‘in bir xil rangga bo‘lsa?

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To‘g‘ri javob tartibli tanlov uchun P(n,k) ni hisoblaydi.

Tartibsiz tanlov uchun kombinatsiya formulasi.

5! barcha 5 elementli tartiblar soni.

Tartibsiz tanlov uchun kombinatsiya.

Tartibli ketma-ketliklar soni 3!.

Tartibsiz 2 ta tanlov uchun kombinatsiya.

Factorial ko‘paytirilishi bo‘linadigan faktorlar soniga bog‘liq.

Takrorlanishli sendalish uchun parik formula.

Binomial kengaytmasi kombinatorika bilan bog‘liq.

Agar barcha bo‘g‘inlar bir xil rangsa, 1 usul.

 
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