Mathematics Permutations Combinations and Probability Online Test

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Question 1

1. The number of words that can be formed out of the letters of the word MURREE is

Question 2

2. (n+1)n(n–1)/3.2.1 =

Answer

(n+1)/3!(n–2)

Answer

3!(n–2)/(n+1)

Question 3

3. Three unbiased coins are tossed. Then the probabilities of getting two heads is

Answer

None of these

Question 4

4. Probability theory was introduced by ___________

Answer

German mathematician

Answer

French mathematician

Answer

American mathematician

Answer

British mathematician

Question 5

5. In different objects can be arranged taken all at a time in

Answer

(n – 1)! Ways

Answer

(2n)! ways

Answer

(n + 1)! Ways

Question 6

6. Two dice are thrown simultaneously find the probability that the sum of the dots of the dice is a prime no?

Question 7

7. If probability of rain today is 1/3 what is probability of not rain today?

Answer

None of these

Question 8

8. The sample space for tossing a coin once is

Question 9

9. What is the probability to get a block jack from a well shuffled pack of playing cards?

Question 10

10. (n + 2)(n + 1) n =

Answer

(n+2)!/(n–1)

Answer

(n – 1)!/(n+2)

Question 11

11. The number of words that can be formed out of the letters of the word BANNU is

Answer

All of these

Question 12

12. 4! + 5! = ?

Question 13

13. A coin is tossed. If head comes up, a die is thrown but if tail comes up, the coin is tossed again. The probability of obtaining a head and an even number is

Answer

None of these

Question 14

14. The probability that a 3 – digit no. chosen at random divisible by 5 is

Question 15

15. The letters of the CHORD taken all at a time can be written in

Question 16

16. There are 25 tickets bearing numbers from 1 to 25. One ticket is drawn at random. The probability that the number on it is a multiple of 5 or 6 is

Answer

None of these

Question 17

17. In how many ways can the letters of the word ‘LEADER’ be arranged?

Question 18

18. ⁶P₃ =

Question 19

19. The number of permutations of the n objects of which there are p like objects of one kind, q like objects of the second kind nd r like objects of the third kind are

Answer

n!/q!q!ϒ!

Question 20

20. How many signals can be given with three different flags when any number of them may be used

Question 21

21. If n is any positive integer, then

Answer

(n+1)! = (n + 1) n!

Answer

n! – n (n – 2)!

Answer

(n + 1)! = (n + 1)(n – 1)!

Answer

n! – n(n + 1)!

Question 22

22. n(n–1)/3.2.1 =

Answer

(n – 2)!/3!n!

Answer

3!(n–2)!/n!

Answer

n!/3!(n–2)!

Question 23

23. 8.7.6/3.2.1 =

Question 24

24. Riaz, Saba, Maria, Shehzad are to give speeches in a class. The teacher can arrange the order of their presentation in

Question 25

25. An unbiased die is thrown. Then the probability of getting a prime is

Answer

None of these

Question 26

26. 6P1 is equal to

Question 27

27. A die is rolled, what is the probability of getting a number which is even and greater than 2?

Answer

None of these

Question 28

28. In a class of 100 students, 60 drink tea, 50 drink coffee and 30 drink both. A student from this class is selected at random. The probability that the student takes at last one of 2 drinks is

Answer

None of these

Question 29

29. All letters of the word “AGAIN” are permuted in all possible ways and the words so formed (with or without meaning) are written as in dictionary, then the 50th word is:

Question 30

30. In how many ways can 7 keys be arranged in a circular key ring

Question 31

31. The number of words that can be formed out of the letters of the word PHYSICS is

Question 32

32. Four cards are drown at random from a pack of 52 playing cards. The probability of getting all the four cards of the same suit is

Answer

None of these

Question 33

33. A bad contains 3 white, 4 black and 2 red balls. If 2 balls are drawn at random, then the probability that both the balls are white is

Answer

None of these

Question 34

34.

Question 35

35. A function whose domain is the set of natural numbers is called the

Answer

Onto function

Answer

Identity function

Question 36

36. 6.5.4 =

Question 37

37. 19!/19!(19–19)! = ?

Answer

None of these

Question 38

38. 1/20.19.18.17 =

Question 39

39. Two cards are drawn at random from a well shuffled pack of cards. The probability that at least one of them is a face card is

Question 40

40. A number is selected at random form the three digit numbers, the probability that the number is divisible by 4 is

Question 41

41. The letters of the LAHORE taken all at a time can be written in

Question 42

42. Three dice are thrown together. The probability of getting a total of at least 6 is

Answer

None of these

Question 43

43. From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how ways can it be done?

Question 44

44. An arrangement of a finite number of objects taken some or all at a time is called their

Answer

Permutation

Answer

Combination

Question 45

45. ⁴C₄ has the value equal to

Answer

None of these

Question 46

46. Two balanced dice are tossed once, the sample space when the integers on the faces of two dice are the same is

Answer

{(1, 1),(2, 2),(3, 3),(4, 4),(5, 5),(6, 6)}

Answer

{(1, 1),(2, 2),(3, 3)}

Answer

None of these

Answer

{(4, 4),(5, 5),(6, 6)}

Question 47

47. Six boys and 3 girls are to be seated at random, in a row, for a photograph. The probability that no two girls will sit together is

Question 48

48. ⁿPᵣ =

Answer

(n–r)!/n!

Answer

n!/(n–r)!r!

Answer

n!/(n–r)!

Question 49

49. The value of ⁵C₂ is

Question 50

50. Factorial of -2 =

Answer

None of these

Question 51

51. The letters of the JUNE taken all a t a time can be written in

Question 52

52. If probability of bulb being defective is 0.2. estimate how many defective bulb there would be in 600 bulbs

Question 53

53. ⁶P₄ is equal to

Question 54

54. If A and Bare mutually exclusive then P(AUB) = ?

Answer

P(A) + P(B)+P(AUB)

Answer

P(A) + P(B) – P(AUB)

Answer

P(A) + P(B)

Answer

P(A) + P(B) – P(A∩B)

Question 55

55. If 4 ⁶Pᵣ = ⁶Pᵣ₊₁, then r is equal to

Question 56

56. 5 unbiased coins are tossed simultaneously. The probability of getting at least one head is

Answer

None of these

Question 57

57. The value of n, when ⁿP₂ = 20 is

Question 58

58. The probability of getting 5, when one dice is called

Question 59

59. The number of words that can be formed out of the letters of the word MATHEMATICS is

Answer

11!/2!.2!.2!.

Answer

11!/2!2!2!.

Answer

2!2!2!/11!.

Question 60

60. 5 persons can be seated at a round table in

Answer

None of these

Question 61

61. ⁿPᵣ = ?

Question 62

62. Events A, B and C are equally likely when

Answer

P(B) = P(A) + (PC)

Answer

P(A) = P(B) = P(C)

Answer

P(A) + P(B) = P(C)

Answer

P(A) = P(B) + P(C)

Question 63

63. ⁴C₄ = ?

Answer

None of these

Question 64

64. If n (E₁) = 18 and n (E₂) = 6 and n (5) = 36 also E₁ and E₂ are independent then P(E₁ ∩ E₂) = ?

Answer

None of these

Answer 60

None of these

Answer 61

None of these

Total Questions:	74
Time Allowed:	40 Minutes
Total Marks:	74
How to Attempt Test:	Please choose the right Option in MCQ-type question.
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Important Math Permutations Combinations and Probability Question and Answer

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Key Preparation Tips:

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Maan Ali

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