In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?

In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?

A 63

B 90

C 126

D 45

Solution

Correct Answer: Option A

Required number of ways = (7C5 x 3C2) = (7C2 x 3C1)

= {(7 x 6)/( 2 x 1)} x 3 = 63.