A man has 6 friends. In how many ways can he invite one or more of them to a party?

A man has 6 friends .how many ways can be invite one or more of them to a party?

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

A man has 10 friends. In how many ways he can invite one of more of them to a party ?

A gentle man wants to invite six friends. In how many ways can he send invitation cards to them, if he has three servants to carry the cards.

In how many ways can 6 boys form a ring ?

Seven people leave their bags outside at temple and returning after worshiping picked one bag each at random. In how many ways at least one and at most three of them get their correct bags?

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 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 man has 7 relatives ,4 of them are ladies and 3 are gentlemen , his wife has also 7 relatives , 3 of them are ladies and 4 are gentlemen . In how many ways can they invite a dinner party of 3 ladies and 3 gentlemen so that there are 3 of the man 's relative and 3 of the wife 's relative ?

Seven relatives of a man comprises four ladies and three gentlemen: his wife has also seven relatives-three of them are ladies and four gentlemen. In how many ways fan they invite 3 ladies and 3 gentlemen at a dinner party so that there are three man's relatives and three wife's relatives?