Question

Out of 5 male and 6 female a committee of 5 is to be formed. Find the number of ways
in which it can be formed so that among the person chosen in the committee there are:
i) exactly 3 males and 2 females
ii) at least 2 males and one female

Answer 1

$$A)5C3+6C2 =25\\ B)5C2×6C3 +5C3×6C2 + 5C4×6C1 =380$$