" 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 can 5 keys be put in a ring

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

In how many ways 10 different balls can be put in 2 difference boxes ?

In how many ways 10 different balls can be put in 2 difference boxes ?

In how many ways 10 different balls can be put in 2 difference boxes ?