Home/ECAT/ECAT Mathematics Permutations Combinations and Probability Online Test

ECAT Mathematics Permutations Combinations and Probability Online Test

Maan AliLast Updated: April 18, 2025

Mathematics Permutations Combinations and Probability MCQS Online Test

ECAT Math Permutations Combinations and Probability Online Test

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

ECAT Math Permutations Combinations and Probability Chapter Online Test

Please wait...

Page 1 of 3

Math

1. ⁶P₃ =

120

360

2. ⁴C₄ has the value equal to

None of these

4. The value of n, when ⁿP₂ = 20 is

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

(2n)! ways

(n + 1)! Ways

n! Ways

(n – 1)! Ways

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

∞

-1

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

1/18

7/18

13/18

11/18

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

5!/2!

5!.2!

All of these

2!/5!

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

1/12

None of these

22/36

10. 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

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

1/6

1/3

None of these

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

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

None of these

1/8

3/8

14. ⁿPᵣ = ?

n!/(n-r)!

n!/(n+1)!

n/(n-r)

n!/(n+r)!

15. n(n–1)/3.2.1 =

n!/3!(n–2)!

(n – 2)!/3!n!

3!(n–2)!/n!

16. ⁴C₄ = ?

250

124

None of these

17. 5 persons can be seated at a round table in

24 ways

25 ways

20 ways

None of these

18. 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

9/25

7/25

None of these

11/25

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

1/13

1/26

3/13

2/13

20. ⁿPᵣ =

n!/(n–r)!r!

(n–r)!/n!

n!/(n–r)!

n!/(n+r)!

21. 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

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

6 ways

720 ways

24 ways

2 ways

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

6!/2²!

6!/2!.2!

6!.2.2!

2²!/6!

24. 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

2/8

None of these

3/8

1/8

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

12 ways

256 ways

4 ways

24 ways

Page 2 of 3

26. 5 unbiased coins are tossed simultaneously. The probability of getting at least one head is

1/16

None of these

31/32

1/32

27. 6.5.4 =

1/6!

3!/6!

6!/3!

28. If n is any positive integer, then

n! – n (n – 2)!

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

n! – n(n + 1)!

(n + 1)! = (n + 1)(n – 1)!

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

None of these

1/3

30. 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!

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

1/216

18/216

None of these

1/18

32. 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

4/5

3/5

2/5

33. 19!/19!(19–19)! = ?

None of these

Undefined

34. 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?

564

756

645

735

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

5/9

5/12

4/9

7/36

36. 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

None of these

22/4165

44/4165

11/4165

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

120

38. 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

None of these

7/52

2/13

39. Probability theory was introduced by ___________

American mathematician

French mathematician

German mathematician

British mathematician

40. 8.7.6/3.2.1 =

10!

10/2!8!

3!5!/8!

8!/3!5!

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

Combination

A.P

Sequence

Permutation

42. 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

1/12

1/18

1/36

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

11!/2³!

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

11!/2!2!2!.

2!2!2!/11!.

44. 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

9/17

7/17

5/17

3/17

45. Factorial of -2 =

40320

362880

None of these

-362880

46.

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

720

360

144

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

93/108

10/216

None of these

103/108

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

720

360

1440

5040

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

720 ways

2 ways

24 ways

6 ways

Page 3 of 3

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

(n+2)!/(n–1)

(n – 1)!/(n+2)

(n + 2)!

52. 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)}

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

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

None of these

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

54. 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

1/6

7/12

5/12

1/12

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

1/5

1/3

1/7

1/10

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

P(A) + P(B) – P(A∩B)

P(A) + P(B)

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

P(A) + P(B) – P(AUB)

57. 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!r!/n!

n!/q!ϒ!

p!/q!ϒ!

n!/q!q!ϒ!

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

1/8

1/16

59. 6P1 is equal to

60. The sample space for tossing a coin once is

{T}

{H, H}

{H}

{H, T}

61. 6!/8! =

1/65

1/56

62. ⁶P₄ is equal to

360

63. (n+1)n(n–1)/3.2.1 =

(n+1)/3!(n–2)

3!(n–2)/(n+1)

(n–2)!

(n + 1)!

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

Onto function

Sequence

Series

Identity function

65. 1/20.19.18.17 =

1/16!

16!/20!

20!/16!

20!

66. 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

NAAGI

NAAIG

IAANG

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

1/5

1/3

1/6

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

720 ways

6 ways

2 ways

24 ways

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

2/3

None of these

70. The value of ⁵C₂ is

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

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

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

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

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

72. If ⁿC₁₂ = ⁿC₆ the value of n is

73. 4! + 5! = ?

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.

UET Peshawar Entry Test 2025 Registration Online ETEA Test D...
ECAT Statistics Test Set 17
ECAT Statistics Test Set 16
ECAT Statistics Test Set 15
ECAT Statistics Test Set 14
ECAT Statistics Test Set 13
ECAT Statistics Test Set 12
ECAT Statistics Test Set 11
ECAT Statistics Test Set 10
ECAT Statistics Test Set 9

Maan AliLast Updated: April 18, 2025

Facebook Twitter Reddit WhatsApp Share via Email Print

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

ECAT Mathematics Permutations Combinations and Probability Online Test

Mathematics Permutations Combinations and Probability MCQS Online Test

ECAT Math Permutations Combinations and Probability Online Test

ECAT Math Permutations Combinations and Probability Chapter Online Test

Math

M-CAT-Q

You Might Also Like

Maan Ali

7 Comments

Leave a Reply Cancel reply

Mathematics Permutations Combinations and Probability MCQS Online Test

ECAT Math Permutations Combinations and Probability Online Test

ECAT Math Permutations Combinations and Probability Chapter Online Test

Math

M-CAT-Q

You Might Also Like

Maan Ali

Your Related

UET Lahore, Taxila ECAT Chemistry Entry Test Online Preparation

ECAT English Antonyms 6 Online Test

NUST-Rawalpindi ECAT Physics Entry Test Preparation Online

ECAT Physics Motion and Force 3 Test Online

ECAT Physics Electronics MCQS Online Test

Quaid-e-Azam University QAU Nawab Shah ECAT Maths Entry Test Preparation Online

7 Comments

Leave a Reply Cancel reply