Permutation and combination
Permutation & Combination – 50 MCQs with Answers and Solutions
1. In how many ways can 5 different books be arranged on a shelf?
A) 25
B) 60
C) 120
D) 720
2. How many 3-letter words can be formed from the letters A, B, C, D without repetition?
A) 12
B) 18
C) 24
D) 64
3. In how many ways can 4 people be seated in a row?
A) 16
B) 24
C) 8
D) 12
4. How many permutations of the word CAT are possible?
A) 3
B) 6
C) 9
D) 27
5. How many combinations of 2 objects can be selected from 6 objects?
A) 12
B) 15
C) 30
D) 6
6. In how many ways can a president, secretary, and treasurer be chosen from 6 people?
A) 20
B) 60
,C) 120
D) 30
7. How many ways can 3 boys and 2 girls sit in a row if all are different?
A) 60
B) 120
C) 240
D) 720
8. Number of ways to arrange the letters of the word DOG?
A) 3
B) 6
C) 9
D) 27
9. In how many ways can 5 students be selected from a class of 10?
A) 252
B) 120
C) 60
D) 210
10. How many 2-digit numbers can be formed using digits 1,2,3,4 without repetition?
A) 16
B) 12
C) 8
D) 24
11. In how many ways can 7 people be arranged around a round table?
A) 5040
B) 720
C) 840
D) 6
12. How many ways can a committee of 3 be formed from 8 people?
A) 56
B) 24
C) 336
D) 120
13. Number of permutations of the word BAT?
A) 3
B) 6
C) 9
, D) 27
14. How many ways can 4 prizes be distributed among 10 students if one student gets only
one prize?
A) 210
B) 5040
C) 720
D) 504
15. How many ways can 3 letters be chosen from A, B, C, D, E?
A) 10
B) 20
C) 60
D) 120
16. Number of 4-letter arrangements from the word NOTE?
A) 12
B) 16
C) 24
D) 48
17. In how many ways can 5 people stand in a queue?
A) 25
B) 60
C) 120
D) 720
18. How many ways can a team of 2 boys and 1 girl be formed from 4 boys and 3 girls?
A) 18
B) 24
C) 12
D) 36
19. How many different signals can be formed using 3 flags of different colors from 5 flags?
A) 60
B) 20
C) 10
D) 125
20. In how many ways can letters of the word RED be arranged?
A) 3
B) 6
C) 9
Permutation & Combination – 50 MCQs with Answers and Solutions
1. In how many ways can 5 different books be arranged on a shelf?
A) 25
B) 60
C) 120
D) 720
2. How many 3-letter words can be formed from the letters A, B, C, D without repetition?
A) 12
B) 18
C) 24
D) 64
3. In how many ways can 4 people be seated in a row?
A) 16
B) 24
C) 8
D) 12
4. How many permutations of the word CAT are possible?
A) 3
B) 6
C) 9
D) 27
5. How many combinations of 2 objects can be selected from 6 objects?
A) 12
B) 15
C) 30
D) 6
6. In how many ways can a president, secretary, and treasurer be chosen from 6 people?
A) 20
B) 60
,C) 120
D) 30
7. How many ways can 3 boys and 2 girls sit in a row if all are different?
A) 60
B) 120
C) 240
D) 720
8. Number of ways to arrange the letters of the word DOG?
A) 3
B) 6
C) 9
D) 27
9. In how many ways can 5 students be selected from a class of 10?
A) 252
B) 120
C) 60
D) 210
10. How many 2-digit numbers can be formed using digits 1,2,3,4 without repetition?
A) 16
B) 12
C) 8
D) 24
11. In how many ways can 7 people be arranged around a round table?
A) 5040
B) 720
C) 840
D) 6
12. How many ways can a committee of 3 be formed from 8 people?
A) 56
B) 24
C) 336
D) 120
13. Number of permutations of the word BAT?
A) 3
B) 6
C) 9
, D) 27
14. How many ways can 4 prizes be distributed among 10 students if one student gets only
one prize?
A) 210
B) 5040
C) 720
D) 504
15. How many ways can 3 letters be chosen from A, B, C, D, E?
A) 10
B) 20
C) 60
D) 120
16. Number of 4-letter arrangements from the word NOTE?
A) 12
B) 16
C) 24
D) 48
17. In how many ways can 5 people stand in a queue?
A) 25
B) 60
C) 120
D) 720
18. How many ways can a team of 2 boys and 1 girl be formed from 4 boys and 3 girls?
A) 18
B) 24
C) 12
D) 36
19. How many different signals can be formed using 3 flags of different colors from 5 flags?
A) 60
B) 20
C) 10
D) 125
20. In how many ways can letters of the word RED be arranged?
A) 3
B) 6
C) 9
