JEE MATHS UNIT 4
QUIZ NO 2
TOTAL QUESTIONS = 20
1. The number of permutations of n distinct objects taken all at a time is
A. n!
B. n^n
C. n(n-1)
D. n^2
2. The value of 8P3 is
A. 336
B. 168
C. 672
D. 560
3. In how many ways can the letters of the word "ALGORITHM" be arranged?
A. 40320
B. 4032
C. 720
D. 120
4. The number of ways to distribute 5 identical balls into 3 distinct boxes is
A. 7
B. 6
C. 8
D. 10
5. The number of ways to select 3 objects from 7 distinct objects is
A. 35
B. 21
C. 42
D. 49
6. If nC2 = 10, the value of n is
A. 5
B. 6
C. 7
D. 4
7. The number of ways to arrange 5 boys and 4 girls in a row such that all girls sit together is
A. 30240
B. 720
C. 1440
D. 40320
8. The number of circular permutations of 5 people is
A. 5!
B. 5
C. 4!
D. 120
9. If nPr = 60 and n = 5, the value of r is
A. 3
B. 4
C. 2
D. 5
10. The number of subsets of a set with 4 elements is
A. 16
B. 15
C. 8
D. 32
11. The value of 10C4 is
A. 120
B. 210
C. 45
D. 252
12. The number of ways to select a cricket team of 11 players from 15 players is
A. 3003
B. 1365
C. 120
D. 15
13. If nC3 = 35, the value of n is
A. 7
B. 6
C. 8
D. 9
14. The number of ways to arrange the letters of the word "SCHOOL" such that the vowels are always together is
A. 720
B. 240
C. 360
D. 480
15. How many arrangements can be made from the letters of the word "ENGINEERING"?
A. 27720
B. 277200
C. 2772
D. 2880
16. The number of ways to distribute 8 distinct books among 4 students such that each student gets at least one book is
A. 5040
B. 40320
C. 6720
D. 1680
17. The value of 6P2 is
A. 30
B. 60
C. 15
D. 120
18. If a committee of 4 people is to be formed from a group of 8 people, the number of ways is
A. 70
B. 56
C. 40
D. 64
19. The number of ways to arrange 4 boys and 3 girls in a row such that no two girls sit together is
A. 1440
B. 720
C. 5040
D. 120
20. If nC2 = 45, the value of n is
A. 9
B. 10
C. 11
D. 8
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