A committee of 5 members is to be formed by selection out of 6 men and 4 women. Find the number of ways in which it can be doen if the committee is to include. Atleast two women.

A committee of 3 members is to be formed out of 5 men and 2 women. Find the number of ways of selecting the committee if it is to consist of at least one woman .

A committee of 5 members is to be selected from among 6 boys and 5 girls. Determine the number of ways of selecting the committee if it is to Consist of at least one boy and one girl.

Find the number of ways in which n different beads can be arranged to form a necklace.

Find the number of ways in which 12 different beads can be arranged to form a necklace.

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 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 5 is to be formed from 9 ladies and 8 men . If the committee commands a lady majority , then the number of ways this can be done is :

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 ?

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 men are in majority ?

There are p copies each of n different books. Find the number of ways in which a nonempty selection can be made from them.