Among 40 students there is 22 female and 18 males.how many ways can I form. Comitte of 3 students 2 being female and 1 male?

Question

Statistics using permutations 

Answer 1

In selecting the females, (22)(21) combinations are possible.

Each of these could be matches with one of 18 different males.

The number of possible committees is (22)(21)(18).