SOLUTION: Three travelers arrived at a town where there are five hotels. In how many ways can they select their room each at a different hotels?

Question 997074: Three travelers arrived at a town where there are five hotels. In how many ways can they select their room each at a different hotels?
Answer by ikleyn(52778) (Show Source): You can put this solution on YOUR website!
.
5*4*3 = 60 ways.

The first traveler can be accommodated in 5 ways (in any of 5 hotels)

The second traveler can be accommodated in 4 ways (in any of remaining hotels.

The third traveler can be accommodated in 3 ways (in any of 3 = 5 - 2 hotels).

In the rest, these selection are independent.

Therefore, there are 5*4*3 = 60 ways to accommodate, in total.

RELATED QUESTIONS
11. A group of 5 boys took their girlfriends with them to a seaside picnic right after... (answered by ikleyn)

In a party there were 3boys and 4girls how many diff ways can dey dance? (answered by ikleyn)

There are five girls and five boys at a party. In how many ways can they be seated... (answered by edjones)

twelve students are in a class. they are split so that five go to room A, four go to... (answered by stanbon)

A bag of marbles contains seven purple, six gold and five white marbles. You select... (answered by ikleyn)

In how many ways can 4 people be assigned to seats in a 12-seat room? Show how you... (answered by user_dude2008)

Five students and three teachers are to be seated in a row at the front of a school... (answered by nyc_function)

Swiss family is planning a trip to Southern Africa, visiting Namibia, Botswana and South... (answered by Alan3354)

there are 5 women and 5 men at a party,in how many ways can be paired into five... (answered by Fombitz)