In how many ways 5 delegates can be put in 6 hotels of a city if there is no restriction?

In how many ways four friends can put up in 8 hotels of a town if ( i) There is no restriction? (ii) No two friends can stay together? (ii) All the friends do not stay in same hotel?

In how many ways can 5 keys be put in a ring

In how many ways 5 letters can be posted in 4 letter boxes?

In how many ways 6 girls can be seated in two chairs ?

In how many ways can 5 letters be posted in 4 letter boxes?

In how many ways can 5 apples be distributed among 6 boys, there being no restriction to the number of apples each boy may get?

In how many ways can 5 bananas be distributed among 3 boys, there being no restriction to the number of bananas each boy may get?