Out of 5 men and 3 women, a committee of three members is to be formed so that it has 1 women, and 2 men. In how many different ways can it be done?

A. 10

B. 20

C. 23

D. 30

E. None of these

Answer: Option D

Solution(By Examveda Team)

Required number of ways
$$\eqalign{ & = \left( {{}^3{C_1} \times {}^5{C_2}} \right) \cr & = 3 \times \frac{{5 \times 4}}{{2 \times 1}} \cr & = 30 \cr} $$