a) 55
b) 60
c) 25
d) 15
Answer: b
Explanation: Since, no order to the committee is mentioned, a combination instead of a permutation is used.
Let’s sort out what we have and what we want.
Have: 5 women, 6 men.
Want: 3 women AND 1 man.
The word AND means multiply.
Woman and Men
$$\eqalign{
& ^{{\text{have}}}{{\text{C}}_{{\text{want}}}}{ \times ^{{\text{have}}}}{{\text{C}}_{{\text{want}}}} \cr
& { = ^5}{{\text{C}}_3}{ \times ^6}{{\text{C}}_1} \cr
& = 60 \cr} $$
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