In how many ways can 5 members forming a committee out of 10 be selected so that : two particular members must be included?

In how many ways can 5 members forming a committee out of 10 be selected so that : two particular members must not be included ?

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

In how many ways can 6 beads of same colour form a necklace ?

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

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 6 girls and 4 boys be seated in a row so that no two boys are together?

In how many ways can 4 boys and 3 girls be seated in a row so that no two girls are together ?

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 a team 11 players be formed out of 25 players, if 6 out of them are always to be included and 5 always to be excluded