How many different committees can be formed from 9 teachers and 33 students if the committee consists of 3 teachers and 3 students?

From 5 men and 4 women, how many committees can be selected consisting of: - 3 men and 2 women? - 5 people of which at least 3 are men?

A House committee has 9 members, consisting of 5 Republicans and 4 Democrats. An education Republican. How many ways are there to choose the members on the education group? group of 3 members is going to be formed, and this group must have at least 1

The university senate needs to select an eight-person committee from a pool of 20 faculty members consisting of 14 professors and 6 instructors. How many ways can they select a group of 8 faculty members to form the committee if they must choose exactly 5 professors?

How many committees can be formed from 12 men and 12 women if the committee must consist of 3 men and 4 women?

A committee of 5 students are to be chosen from 25 CS majors and 15 Math majors. How many of these possible committees have exactly 3 CS and 2 Math majors?

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?

A group of 11 people consisting of 2 freshmen, 1 sophomores, 4 juniors, and 4 seniors are selected from 4 freshmen, 5 sophomores, 5 juniors, and 7 seniors. How many groups can be formed?

How many committees of 4 can be made from a group of 20 republicans and 15 democrats if at least 1 republican and at least 1 democrat must be on the committee?