Question

out of 5 men and 2 women, a committee of 3 is to be formed. In how many ways can it be formed if at least one woman is to be included?

Answer 1

1 woman 2 men
2 women 1 man

Answer 2

Answer:

25

Step-by-step explanation:

Case-1 :- 1 woman, 2 men

$\frac{2!}{1!1!}$ × $\frac{5!}{3!2!}$ = 20

Case-2 :- 2 women, 1 man

$\frac{2!}{2!}$ × $\frac{5!}{4!1!}$ = 5

total no. of ways = 20 + 5 =25