A group consists of 4 girls and 7 boys. In how many ways can a team of 5 members be selected if the team has:
at least one boy one girl.

A group consists of 4 girls and 7 boys. In how many ways can a team of 5 members be selected if the team has: at least 3 girls.

A group consists of 4 girls and 7 boys. In how many ways can a team of 5 members be selected if the team has: no girl.

In how many ways can a team of 3 boys and 3 girls be selected from 5 boys and 4 girls?

In how many ways can 5 sportsmen be selected from a group of 10 ?

In how many ways a committee of 5 members can be selected from 6 men and 5 ladies consisting of 3 men and 2 ladies?

A class consists of 40 girls and 60 boys. In how many ways can a president, vice president, treasurer and secretary be chosen if the treasurer must be a girl, the secretary must be a boy and a student may not hold more than one office ?

A man has 7 friends. In how many ways can he invite one or more of them to a party ?

A debate club consists of 6 girls and 4 boys. A team of 4 members is to be selected from this club including the selection of a captain (from among these 4 members) for the team. If the team has to include at most one boy, then the number of ways of selecting the team is

In how many ways can a committee be selected from 15 persons if the committee is to have : 3 members.

In how many ways can a committee be selected from 15 persons if the committee is to have : 13 members.