Five boy and five girls sit alternately around a round table. In how many ways can this be done?

5Boys and 5 girls sit alternately around a round table.In how many ways can this be done?

A committee of 2 boys and 2 girls is to be slected from 4 boys and 3 girls . In how many ways can this be done ?

Five boys and 6 girls must sit around a round table.How many arrangements are possible if Karan (a boy) must always be adjacent to Alia and Kareena(Two girls) .

From 10 boys and 20 girls, a committee of 2 boys and 3 girls is to be formed. In how many ways can this be done if a particular girl is included

From 10 boys and 20 girls, a committee of 2 boys and 3 girls is to be formed. In how many ways can this be done if a particular girl is excluded

From 10 boys and 20 girls, a committee of 2 boys and 3 girls is to be formed. In how many ways can this be done if a particular boy is included,

There are n numbered seats around a round table. In how many ways can m (< n) persons sit around the round table.