In how many ways can we seat 6 boys and 3 girls on a row of seats so that no two girls sit next to each other?

From a group of 8 women and 6 men, a committee consisting of 3 men and 3 women is to be formed. How many different committees are possible if 2 men refuse to server together and 2 women will only serve together if they are together.

If a team of four players must be made from eight boys and six girls, how many teams can be made if they must all be boys?

There are 5 women and 8 men in a department.  How many ways can this committee be selected if there must be 2 men and 2 women on the committee?

How many committees of six can be formed from 18 Republicans and 20 Democrats if three members of each party must be on the​ committee?