Elective Mathematics

Question 1

1The number of permutations of n distinct objects taken r at a time is

Easy

A. n!/(n − r)! B. nʳ C. n!/r!(n − r)! D. n!/r!

Question 2

2ⁿCᵣ is always less than or equal to ⁿPᵣ.

Medium

A. True B. False

Question 3

37! = ___

Easy

Your answer (fill in the blank)

Question 4

46! = ___

Easy

Your answer (fill in the blank)

Question 5

5In how many ways can 6 people be seated round a circular table?

Hard

A. 120 B. 720 C. 12 D. 24

Question 6

65! = ___

Easy

Your answer (fill in the blank)

Question 7

7A committee of 3 is to be chosen from 6 boys and 4 girls. In how many ways can this be done?

Medium

A. 120 B. 720 C. 121 D. 24

Question 8

8Evaluate 9P3.

Easy

A. 84 B. 3,024 C. 27 D. 504

Question 9

9A committee of 3 is to be chosen from 7 boys and 5 girls. In how many ways can this be done?

Medium

A. 45 B. 35 C. 1,320 D. 220

Question 10

10The number of arrangements of the letters of a word with repeated letters is

Medium

A. n! divided by the factorials of the repeats B. n² C. n! D. 2ⁿ