On entering a certain town ,4 travellers find that there are 5 hotels in the town . If no two travellers get into the same hotel , find in how many different ways can the travellers reside in the hotels ?

In how many different ways can the four subjects be arranged in 5 periods of a class ?

In how many ways can a person post 5 letters in 4 letters boxes ?

Four visitors A, B, C, D arrived at a town that has 5 hotels. In how many ways, can they disperse themselves among 5 hotels.

If the best and the worst paper never appear together, find in how many ways six examination papers can be arranged.

A servant has to post 5 letters and there are 4 letter boxes in how many ways can he post the letter is

For a certain class, in how many different routines can the 5 different subjects be alloted in 6 different periods ?

In how many ways can 5 different subjects be arranged in 6 periods of a class?

Roorkee University has to send 10 professors to 5 centers for its entrance examination, 2 to each center. Two of the enters are in Roorkee and the others are outside. Two of the professors prefer to work in Roorkee while three prefer to work outside. In how many ways can this be made if the preferences are to be satisfied?

A person travels by boat 5 kilometres in 1 hour in still water. The time he requires to travel 40 kilometres against the current is 3 times the time he requires to travel the same distance in favour of the current . Find the velocity of the current .

In how many ways can 8 different things be divided equally into two groups ?