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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 the 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`.
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