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Four travelers arrive in a town with five hotels. In how

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Four travelers arrive in a town with five hotels. In how [#permalink] New post 08 Aug 2003, 00:52
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Four travelers arrive in a town with five hotels. In how many ways can they:
a) take up quarters?
b) take up quarters with each traveler in a different hotel?
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 [#permalink] New post 08 Aug 2003, 08:38
(1)

the first tourist can stay in any of 5 hotels
the second tourist can stay in any of 5 hotels
and so on 5*5*5*5=5^4

(2)

the first tourist can stay in any of 5 hotels
the second tourist can stay in any of 4 hotels
the third tourist can stay in any of 3 hotels
the fourth tourist can stay in any of 2 hotels

5*4*3*2=5!=60
  [#permalink] 08 Aug 2003, 08:38
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