In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?

In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?

A 266

B 5040

C 11760

D 86400

Solution

Correct Answer: Option C

Required number of ways = (8C5 x 10C6)

= (8C3 x 10C4)

={(8 x 7 x 6) / ( 3 x 2 x 1)} x {(10 x 9 x 8 x 7) / (4 x 3 x 2 x 1)}

= 11760.