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 persons has got 12 friends of whom 8 are relatives. In how many ways can he invite 7 guests such that 5 of them may be relatives ?

A person has 15 friends of whom 10 are relatives. In how many ways can he invite 12 guests such that 8 of them are relative?

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

In how many ways can a boy invite his 5 friends to a party so that at least three join the party?

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

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