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.

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.

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 ?

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

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 team of ten is to be formed from 6 male doctors and 10 nurses of whom 5 are male and 5 are female. In how many ways can this be done, if the team must have atleast 4 doctors and atleast 4 nurses with atleast 2 male nurses and at least 2 female nurses?

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.