Permutation And Combination MCQs
Permutation And Combination MCQs
The following Permutation And Combination MCQs have been compiled by our experts through research, in order to test your knowledge of the subject of Permutation And Combination. We encourage you to answer these 10+ multiple-choice questions to assess your proficiency.
Please continue by scrolling down.
1: In a party every person shakes hands with every other person. If there are 105 hands shakes, find the number of person in the party.
A. 15
B. 21
C. 25
D. 14
2: In how many ways can 8 Indians and, 4 American and 4 Englishmen can be seated in a row so that all person of the same nationality sit together?
A. 3! 8!
B. 3! 4! 8! 4!
C. 4! 4!
D. 8! 4! 4!
3: How many words can be formed by re-arranging the letters of the word ASCENT such that A and T occupy the first and last position respectively?
A. 4!
B. 6! – 2!
C. 5!
D. 6! *2!
4: There are 6 equally spaced points A,B,C,D,E and F marked on a circle with radius R. How many convex pentagons of distinctly different areas can be drawn using these points as vertices?
A. None
B. 1
C. 5
D. 6P5
5: In a hockey championship, there are 153 matches played. Every two team played one match with each other. The number of teams participating in the championship is:
A. 17
B. 16
C. 19
D. 18
6: A class photograph has to be taken. The front row consists of 6 girls who are sitting. 20 boys are standing behind. The two corner positions are reserved for the 2 tallest boys. In how many ways can the students be arranged?
A. 18! ×2! × 1440
B. None
C. 6! × 1440
D. 18! × 1440
7: Find the total number of distinct vehicle numbers that can be formed using two letters followed by two numbers. Letters need to be distinct.
A. 65000
B. 70000
C. 75000
D. 60000
8: How many ways can 4 prizes be given away to 3 boys, if each boy is eligible for all the prizes?
A. 24
B. 12
C. 256
D. None
9: 12 chairs are arranged in a row and are numbered 1 to 12. 4 men have to be seated in these chairs so that the chairs numbered 1 to 8 should be occupied and no two men occupy adjacent chairs. Find the number of ways the task can be done.
A. 360
B. 432
C. 384
D. 470
10: Three gentlemen and three ladies are candidates for two vacancies. A voter has to vote for two candidates. In how many ways can one cast his vote?
A. 15
B. 30
C. 9
D. 36
11: The number of positive integers which can be formed by using any number of digits from 0,1,2,3,4,5 without repetition.
A. 1630
B. 1600
C. 1500
D. 1200
12: The letter of the word LABOUR are permuted in all possible ways and the words thus formed are arranged as in a dictionary. What is the rank of the word LABOUR?
A. 275
B. 242
C. 240
D. 251
13: After every get-together every person present shakes the hand of every other person. If there were 105 handshakes in all, how many persons were present in the party?
A. 14
B. 15
C. 13
D. 16
14: How many diagonals can be drawn in a pentagon?
A. 5
B. 9
C. 12
D. 67
15: In a railway compartment, there are 2 rows of seats facing each other with accommodation for 5 in each, 4 wish to sit facing forward and 3 facing towards the rear while 3 others are indifferent. In how many ways can the 10 passengers be seated?
A. 43200
B. 12600
C. 45920
D. 172000
16: A teacher of 6 students takes 2 of his students at a time to a zoo as often as he can, without taking the same pair of children together more than once. How many times does the teacher go to the zoo?
A. 10
B. 15
C. 20
D. 12
17: In how many ways can 10 examination papers be arranged so that the best and the worst papers never come together?
A. 8*9!
B. 7*9!
C. 9*8!
D. 8*8!
18: From 6 men and 4 ladies, a committee of 5 is to be formed. In how many ways can this be done, if the committee is to include at least one lady?
A. 290
B. 315
C. 246
D. 340
19: A box contains 10 balls out of which 3 are red and rest are blue. In how many ways can a random sample of 6 balls be drawn from the bag so that at the most 2 red balls are included in the sample and no sample has all the 6 balls of the same colour?
A. 189
B. 105
C. 168
D. 120
List of Permutation And Combin...
Available in:
Permutation And Combination MCQs
