A committees of 3 persons is to be constituted from a group of 2 men and 3 women. In how many ways can this be done ? How many of these committees would consist of 1 man and 2 women ?

A committee of 3 persons is to be constituted from a group of 2 men and 3 women. In how many ways can this be done? How many of these committees would consist of 1 man and 2 women?

A committee of 2 boys is to be selected from 4 boys. In how many ways can this be done ?

A committee of 7 has to be formed from 9 boys and 4 girls. In how many ways can this be done when the committee consists of: atleast 3 girls ?

A committee of 7 has to be formed from 9 boys and 4 girls. In how many ways can this be done when the committee consists of: exactly 3 girls ?

A committee of 7 has to be formed from 9 boys and 4 girls. In how many ways can this be done when the committee consists of: atmost 3 girls ?

A committee of 7 has to be formed from 9 boys and 4 girls. In how many ways can this be done when the committee consists of : at least three girls.

From a class of 32 students, 4 are to be chosen for a competition. In how many ways can this be done ?

A committee of 7 has to be formed from 9 boys and 4 girls. In how many wasy can this be done, when the committee consists of: at least 3 girls?

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

A committee of 12 is to be formed from nine women and eight men. In how many ways this can be done if at least five women have to be included in a committee ? In how many of these committees : the women are in majority ?