Kombinatorik masalalarni yechish usullari — 7-sinf Algebra test savollari

1.A, B, C, D va E nuqtalar bitta to'g'ri chiziqda yotsa, ular orqali nechta kesma hosil bo'ladi? (C(5,2) dan foydalaning)

• A)6
• B)10'
• C)10
• D)20

2.30 ta o'quvchidan sardor va o'rinbosarni necha xil usulda tanlash mumkin? (tartib muhim, 30·29 dan foydalaning)

• A)59
• B)435
• C)870
• D)840

3.12 ta misoldan 5 tasini necha xil usulda tanlash mumkin? (C(12,5) dan foydalaning)

• A)462
• B)60
• C)792
• D)792'

4.4 xil rangdagi olmalardan 2 tadan olib necha xil guruh (kombinatsiya) tuzish mumkin?

• A)6
• B)4
• C)16
• D)12

5.10 ta jamoa ishtirok etgan musobaqada har bir jamoa boshqasi bilan bir marta o'ynasa, jami nechta o'yin bo'ladi? (C(10,2) dan foydalaning)

• A)120
• B)90
• C)45
• D)36

6.4 ta har xil bolt va 3 ta har xil gaykadan bittadan olib necha xil juftlik tuzish mumkin?

• A)12
• B)4
• C)21
• D)7

7.Kutubxonachi o'quvchiga 5 ta kitob taklif qildi. O'quvchi ulardan 2 tasini necha xil usulda tanlashi mumkin? (C(5,2) dan foydalaning)

• A)20
• B)6
• C)10
• D)10'

8.6 ta o'quvchidan 2 nafarini necha xil usulda tanlash mumkin? (C(6,2) dan foydalaning)

• A)15'
• B)10
• C)15
• D)30

9.7 ta nuqtadan 2 tasini birlashtiruvchi nechta kesma chizish mumkin? (C(7,2) dan foydalaning)

• A)35
• B)42
• C)21
• D)15

10.5 ta har xil rangdagi shardan 3 tadan olib necha xil guruh tuzish mumkin? (C(5,3) dan foydalaning)

• A)4
• B)10'
• C)60
• D)10