Home
Class 12
MATHS
Four visitors A, B, C, D arrived at a to...

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.

Text Solution

Verified by Experts

The correct Answer is:
120
Four hotels can be chosen out of five hotels in `.^(5)C_(4)` ways and the four visitors can stay in one of four hotels in 4! Ways (one visitor in one hotel).
Therefore, the total number of ways of accommodating the visitors is ` .^(5)C_(4)xx4!=5xx24=120`.
Promotional Banner

Similar Questions

Explore conceptually related problems

Three men have 4 coats, 5 waist coats and 6 caps. In how many ways can they wear them?

In how many ways can 5 persons be seated at a round table?

In how many ways can 5 different balls be distributed among three boxes?

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

In how many ways can 5 persons occupy 3 vacant seats ?

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

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

There are 5 gentlemen and 4 ladies to dine at a round table. In how many ways can they as themselves so that no that ladies are together ?

There are 5 gentleman and 4 ladies to dine at a round table. In how many ways can they seat themselves so that no two ladies are together?

A child has four pocket and three marbles. In how many ways can the child put the marbles in its pocket?