Mathematics Permutations Combinations and Probability Online Test

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Question 1

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

Question 2

2. The sample space for tossing a coin once is

Question 3

3. Two unbiased dice are thrown. The probability that the total score is > 5 is

Question 4

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

Question 5

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

Answer

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

Answer

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

Answer

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

Answer

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

Question 6

6. 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 7

7. ⁴C₄ has the value equal to

Answer

None of these

Question 8

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

Answer

2!2!2!/11!.

Answer

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

Answer

11!/2!2!2!.

Question 9

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

Question 10

10. If A is an impossible event then P(A) = ?

Question 11

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

Answer

None of these

Question 12

12.

Question 13

13. 6.5.4 =

Question 14

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

Answer

None of these

Question 15

15. From a group of 5 men and 3 women, a committee of 4 persons is to be selected randomly. The probability that there is a majority of men is

Question 16

16. Factorial of -2 =

Answer

None of these

Question 17

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

Answer

(n – 1)!/(n+2)

Answer

(n+2)!/(n–1)

Question 18

18. 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 19

19. 19!/19!(19–19)! = ?

Answer

None of these

Question 20

20. 1/20.19.18.17 =

Question 21

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

Answer

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

Answer

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

Answer

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

Answer

None of these

Question 22

22. 5 unbiased coins are tossed simultaneously. The probability of getting at least one head is

Answer

None of these

Question 23

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

Question 24

24. ⁿPᵣ = ?

Question 25

25. 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

Question 26

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

Question 27

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

Question 28

28. 8.7.6/3.2.1 =

Question 29

29. 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 30

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

Question 31

31. 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 32

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

Answer

None of these

Question 33

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

Question 34

34. 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 35

35. If n is any positive integer, then

Answer

n! – n(n + 1)!

Answer

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

Answer

(n + 1)! = (n + 1)(n – 1)!

Answer

n! – n (n – 2)!

Question 36

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

Answer

(2n)! ways

Answer

(n – 1)! Ways

Answer

(n + 1)! Ways

Question 37

37. 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 38

38. The value of ⁵C₂ is

Question 39

39. 4! + 5! = ?

Question 40

40. 5 persons can be seated at a round table in

Answer

None of these

Question 41

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

Question 42

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

Question 43

43. (n+1)n(n–1)/3.2.1 =

Answer

(n+1)/3!(n–2)

Answer

3!(n–2)/(n+1)

Question 44

44. 6P1 is equal to

Question 45

45. 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 46

46. Probability theory was introduced by ___________

Answer

German mathematician

Answer

American mathematician

Answer

British mathematician

Answer

French mathematician

Question 47

47. 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 48

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

Question 49

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

Question 50

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

Answer

None of these

Question 51

51. 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 52

52. 6!/8! =

Question 53

53. 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 54

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

Answer

Combination

Answer

Permutation

Question 55

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

Question 56

56. ⁴C₄ = ?

Answer

None of these

Question 57

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

Answer

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

Answer

P(A) + P(B) – P(A∩B)

Answer

P(A) + P(B)

Answer

P(A) + P(B) – P(AUB)

Question 58

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

Question 59

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

Answer

All of these

Question 60

60. A card is drawn from a pack of cards numbered 1 to 52, the probability that the number on the card is a perfect square is

Answer

None of these

Question 61

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

Answer

None of these

Question 62

62. There dice are thrown simultaneously find the probability to get greatest sum of dost?

Answer

None of these

Question 63

63. The number of significant numbers which can be formed by using any number of the digits 0, 1, 2, 3, 4 but using each not more than once in each number is

Question 64

64. n(n–1)/3.2.1 =

Answer

3!(n–2)!/n!

Answer

n!/3!(n–2)!

Answer

(n – 2)!/3!n!

Answer 57

n!/(n–r)!r!

Answer 58

n!/(n–r)!

Answer 59

(n–r)!/n!

Answer 60

Identity function

Answer 61

Onto function

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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