6 persons sit around a table to discuss a problem. In how many ways can it be done? Also find the number of ways in which no person has the same two neighbours.

Number of ways in which 8 boys can sit in a circle

Four persons A, B, C and D are to be seated at a circular table. In how many ways can they be seated ?

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

Number of ways in which is 8 boys can sit in a circle?

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

In how many ways can a person invite one or more of his 8 friends to a feast ?

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

In how many ways can 5 boys and 3 girls sit in a row so that no two girls are together ?

In how many ways can 10 things be equally divided : into two heaps ?

Three married couples are to be seated in a row having six seats in a cinema hall. If spouses are to be seated next to each other, in how many ways can they be seated ? Find also the number of ways of their seating if all the ladies sit together.