A perosn has 12 friends of whom 8 are reltives. In how many wys can he invite 7 friends such that at least 5 of them may be relatives?

A person has 12 friends out of which 7 are relatives. In how many ways can he invite 6 friends such that at least 4 of them are relatives?

A person has got 15 acquaintances of whom 10 are relatives.In how many ways he may invite 9 guests so that 7 would be relatives?

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

A person has 12 friends.In how many ways he can invite them for a party (one person for at least one time)?

Ramesh has 6 friends. In how many ways can he invite one or more of them at a dinner