Examveda

# A committee of 5 members is to be formed by selecting out of 4 men and 5 women. In how many different ways the committee can be formed if it should have 2 men and 3 women?

A. 16

B. 36

C. 45

D. 60

E. None of these

\eqalign{ & = {{}^4{C_2} \times {}^5{C_3}} \cr & = {{}^4{C_2} \times {}^5{C_2}} \cr & = {\frac{{4 \times 3}}{{2 \times 1}} \times \frac{{5 \times 4}}{{2 \times 1}}} \cr & = 60 \cr}