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

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Manager
Joined: 24 Jun 2003
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Location: Moscow
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Four travelers arrive in a town with five hotels. In how [#permalink]

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08 Aug 2003, 00:52
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0% (00:00) correct 100% (00:40) wrong based on 3 sessions

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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?
SVP
Joined: 03 Feb 2003
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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
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