Permutations and Combinations
1. How many ways can the letters of the word "CAT" be arranged?
A. 3
B. 6
C. 9
D. 12
B. 6
2. How many 3-digit numbers can be formed using the digits 1, 2, 3, 4 without repetition?
A. 12
B. 16
C. 20
D. 24
D. 24
3. In how many ways can 5 students be arranged in a line?
A. 24
B. 60
C. 120
D. 240
C. 120
4. How many ways can a committee of 3 members be selected from 6 people?
A. 15
B. 20
C. 30
D. 60
B. 20
5. How many ways can the letters of the word "APPLE" be arranged?
A. 240
B. 120
C. 60
D. 30
C. 60
6. How many 4-digit numbers can be formed from the digits 1, 2, 3, 4, 5 if repetition is not allowed?
A. 120
B. 60
C. 20
D. 24
A. 120
7. In how many ways can 4 books be arranged on a shelf if there are 7 books available?
A. 140
B. 35
C. 840
D. 5040
C. 840
8. A committee of 4 members is to be formed from 8 men and 5 women. If at least 2 women must be included, how many ways can this be done?
A. 210
B. 280
C. 350
D. 365
D. 365
9. How many ways can 3 boys and 2 girls sit in a row if the girls must sit together?
A. 120
B. 60
C. 48
D. 240
C. 48
10. How many ways can 6 different books be arranged on a shelf if 2 particular books must always be together?
A. 240
B. 360
C. 480
D. 720
A. 240