Math 11 Chapter 7Permutation, Combination and ProbabilityTest - 4

Math 11 Chapter 7
Permutation, Combination and Probability
Test - 4

1. The number of combinations of 10 different objects taken 8 objects at a time is.

a) 50
b) 55
c) 45
d) 90

2. If S is a sample space and E is an event then P(E) is:

a) None of these.
b) n(E Y S ) / n(S)
c) n(E) / n(S)
d) n(S) / n(E)

3. If a fair die is thrown then the probability to get a number divisible by 2 is:

a) 1/3
b) 1/2
c) None of these.
d) 1/6

4. The probability that a slip of numbers divisible by 4 is picked from the slips of numbers 1,2,3,4,--------10 is:

a) 3/10.
b) 1/5
c) 2/5
d) 1/10

5. A box contains 10 red, 30 white and 20 black marbles. When a marble is drawn at random, the probability that it is either red or white is:

a) 1/2
b) 1/6
c) 1/3
d) 2/3

6. The probability that an egg will be broken during delivery is 1/200, The number of broken eggs in 1000 eggs would be:

a) 10.
b) 5.
c) 4.
d) 20.

7. Factorial form of 12. 11. 10 is __________.

a) 12! / 9!
b) 12! / 8!
c) 10! / 9!
d) 14! / 9!

8. n (n-1) (n-2) --------- (n-r+1) = n! / (__________)

a) (n-r)!
b) (n-r)i
c) (r-n)!
d) (n-r)

9. The first event can occur in p different ways. After first event has occurred, the second event can occur in q different ways. The number of ways that two events can occur is ___________.

a) np
b) pr
c) rn
d) pq

10. A permutation of n different objects is an arrangement of the? a) letters
b) none of these
c) objects
d) figures

11. A number of three digits from the digits 0,1,2,3----9 can be formed in __________ ways when digits can be repeated.

a) 700
b) 900
c) 800
d) 600

12. Five digit numbers from the digits 1, 2, 4, 6, 8 can be formed in ________ ways if the digits 2 and 8 are next to each other (when no digit is repeated).

a) 36
b) 24
c) 54
d) 48

13. ^n-1C_n + ^n-1C_r-1 = _____________.

a) n-1
b) n
c) p
d) n+1

14. If ⁿC₁₂ = ⁿC₆ then n = _____________.

a) 24
b) 16
c) 12
d) 18

15. Number of arrangement of 3 books on English and 4 books in Urdu for placing on a shelf is equal to _________ when the books on the same subject are kept together.

a) 266
b) 298
c) 288
d) 244

16. n. ^n-1P_r-1 =_____________.

a) p-1
b) n-1
c) n^n-1
d) n

17. When a fair die is rolled, the probability for the occurrence of a number greater than 4 is ___________.

a) 1/5
b) 1/4
c) 1/2
d) 1/3

18. A bag contains 40 balls out of which 5are green and 15 are black. A ball is taken out of the bag. The probability that the ball is not green is __________.

a) 7/8
b) 3/5
c) 5/8
d) 5/7

19. If A and B are overlapping sets then: P(AUB) = __________.

a) P(A)+P(B) - P(AUB)
b) P(A)+P(B) - B(AUP)
c) P(A)-P(B) - P(AUB)
d) P(A)+B(P) - P(AUB)

20. The probability of getting 2 heads in two successive tosses of a balanced coin is __________.

a) 1/3
b) 1/6
c) 1/4
d) 1/8

21. When the sum of dots appearing in two successive throws of two dice is 7, the probability is ________.

a) 1/8
b) 1/7
c) 1/6
d) 1/4

22. 9! / 2!(9-2)!

a) 22
b) 36
c) 24
d) 28

23. (n+2)! / (n-1)!

a) n(n+1) (n +4)
b) n(n+1) (n +2)
c) n(n+2) (n +2)
d) n(n+1) (n - 2)

24. ⁿP₂ =30

a) n=5
b) n=6
c) n=4
d) n=8

This is more feedback!

This is the feedback!