1.  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
E. None of these

Answer: Option C

Explanation:

Required number of ways

= (8C5 x 10C6)
= (8C3 x 10C4)
= 8 x 7 x 6 x 10 x 9 x 8 x 7
3 x 2 x 1 4 x 3 x 2 x 1
= 11760.