Home/Mathematics/Mathematics Permutations Combinations and Probability Online Test

Mathematics Permutations Combinations and Probability Online Test

Maan AliLast Updated: October 15, 2025

Important Math Permutations Combinations and Probability Question and Answer

Total Questions:	74
Time Allowed:	40 Minutes
Total Marks:	74
How to Attempt Test:	Please choose the right Option in MCQ-type question.
Test Helpful For:	ECAT Entry Test Math Online Test Interview Questions about Math All Universities Entrance Test Recruitments Tests

Math Permutations Combinations and Probability Practice Test Online With Explanation

Please wait...

Page 1 of 3

Math

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

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

Series

Sequence

Identity function

Onto function

3. The sample space for tossing a coin once is

{T}

{H}

{H, T}

{H, H}

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

720

360

144

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

1/16

1/8

7. 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

None of these

1/36

1/12

1/18

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

1/6

1/3

1/5

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

2 ways

24 ways

720 ways

6 ways

10. 6.5.4 =

6!/3!

1/6!

3!/6!

11. Factorial of -2 =

40320

362880

-362880

None of these

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

1/26

3/13

1/13

2/13

13. 5 persons can be seated at a round table in

20 ways

25 ways

None of these

24 ways

14. 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

p!/q!ϒ!

n!/q!ϒ!

p!q!r!/n!

n!/q!q!ϒ!

15. The value of ⁵C₂ is

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

2 ways

24 ways

720 ways

6 ways

17. 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

7/25

9/25

11/25

None of these

18. 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

260

356

410

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

2/3

None of these

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

P(A) + P(B)

P(A) + P(B) – P(AUB)

P(A) + P(B) – P(A∩B)

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

21. ⁶P₃ =

120

360

22. 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

1/6

1/3

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

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

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

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

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

24. ⁿPᵣ =

n!/(n–r)!

(n–r)!/n!

n!/(n+r)!

n!/(n–r)!r!

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

None of these

22/36

1/12

Page 2 of 3

26. 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

7/12

5/12

1/6

1/12

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

720

360

1440

5040

28. 6P1 is equal to

29. 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

1/13

2/13

None of these

7/52

30. ⁴C₄ = ?

250

124

None of these

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

4 ways

12 ways

24 ways

256 ways

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

(n + 2)!

(n – 1)!/(n+2)

(n+2)!/(n–1)

33. 5 unbiased coins are tossed simultaneously. The probability of getting at least one head is

1/16

31/32

None of these

1/32

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

120

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

1/10

1/3

1/5

1/7

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

∞

-1

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

n! Ways

(n – 1)! Ways

(n + 1)! Ways

(2n)! ways

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

Sequence

Combination

Permutation

A.P

39. 6!/8! =

1/56

1/65

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

1/3

None of these

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

None of these

1/3

1/6

42. If ⁿC₁₂ = ⁿC₆ the value of n is

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

7/2

2!/7!

7/2

7!/2!

44. 4! + 5! = ?

45. 8.7.6/3.2.1 =

10/2!8!

3!5!/8!

10!

8!/3!5!

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

720 ways

6 ways

24 ways

2 ways

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

1/18

1/216

None of these

18/216

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

3/8

1/8

None of these

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

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

None of these

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

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

50. 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

1/8

3/8

None of these

2/8

Page 3 of 3

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

13/18

11/18

1/18

7/18

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

2!/5!

5!/2!

All of these

5!.2!

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?

756

735

564

645

54. (n+1)n(n–1)/3.2.1 =

3!(n–2)/(n+1)

(n+1)/3!(n–2)

(n–2)!

(n + 1)!

55. ⁶P₄ is equal to

360

56. 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:

INAGA

IAANG

NAAGI

NAAIG

57. 19!/19!(19–19)! = ?

None of these

Undefined

58. If n is any positive integer, then

(n + 1)! = (n + 1)(n – 1)!

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

n! – n (n – 2)!

n! – n(n + 1)!

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

2²!/6!

6!/2²!

6!.2.2!

6!/2!.2!

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

7/36

5/12

5/9

4/9

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

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

10/216

93/108

103/108

None of these

63. ⁿPᵣ = ?

n!/(n-r)!

n!/(n+1)!

n!/(n+r)!

n/(n-r)

64. The value of n, when ⁿP₂ = 20 is

65.

66. Probability theory was introduced by ___________

German mathematician

American mathematician

French mathematician

British mathematician

67. n(n–1)/3.2.1 =

n!/3!(n–2)!

3!(n–2)!/n!

(n – 2)!/3!n!

68. 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

44/4165

22/4165

11/4165

None of these

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

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

11!/2³!

2!2!2!/11!.

11!/2!2!2!.

70. 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

None of these

3/5

4/5

2/5

71. 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

7/17

9/17

3/17

5/17

72. ⁴C₄ has the value equal to

None of these

73. 1/20.19.18.17 =

20!/16!

20!

1/16!

16!/20!

M-CAT-Q

74. 0!

-1

You Can Learn and Gain more Knowledge through our Online Quiz and Testing system Just Search your desired Preparation subject at Gotest.

Mathematics Linear Inequalities and Linear Programming Test ...
Mathematics Inverse Trigonometric Functions Online Test
Mathematics Application of Trigonometry Online Test
Mathematics Solution of Trigonometric Functions Online Test
Mathematics Functions and Limits Online Test
Mathematics Induction and Binomial Theorem Online Test
Mathematics Differentiation Online Test
Mathematics Integration Online Test
Mathematics Introduction to Analytic Geometry Online Test
Mathematics Sequences and Series Online Test

Maan AliLast Updated: October 15, 2025

7 Comments

Anaya says:

February 11, 2022 at 2:28 pm

How i prepare msc math entry test

zohaib says:

July 29, 2017 at 12:37 am

i got 100%

Qasim Ali says:

July 15, 2017 at 11:29 pm

whats the right answer for this mcq’s arrangment of fintite number of objects taken some or all the time??? i have confusion with this

Karan Kumar says:

May 4, 2017 at 1:52 pm

I got 96%. Only 1 mistake.

umair ahmed says:

March 19, 2017 at 1:05 pm

92%

Aunali says:

July 31, 2016 at 11:37 am

i got 96%

AMEER HAMZA says:

July 21, 2016 at 9:01 pm

GREAT PEOPLE DOING THIER JOB IN THEV BEST POSSIBLE WAY

Mathematics Permutations Combinations and Probability Online Test

Important Math Permutations Combinations and Probability Question and Answer

Math Permutations Combinations and Probability Practice Test Online With Explanation

Math

M-CAT-Q

Related Posts

Maan Ali

7 Comments

Leave a Reply Cancel reply