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# Six People are on an elevator that stops at exactly six

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Manager
Joined: 25 Aug 2004
Posts: 170

Kudos [?]: 35 [0], given: 0

Location: MONTREAL
Six People are on an elevator that stops at exactly six [#permalink]

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30 Dec 2004, 23:44
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Six People are on an elevator that stops at exactly six floors.

What is the probability that exactly one person will push the button for each floor?

(A) 6!/6(exp)6

(B) 6(exp)6 /6!

(C) 6/6!

(D) 6/6(exp)6

(E) 1/6(exp)6

Kudos [?]: 35 [0], given: 0

Manager
Joined: 21 Jun 2004
Posts: 235

Kudos [?]: 6 [0], given: 0

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31 Dec 2004, 00:47
I wud go for A

The total no of ways = 6^6 - since all 6 can get down at any of the 6 floors.

The favourable cases = 6! since this number gives me the possible ways 6 things can be arranged = 6 people getting down at different floors.

Kudos [?]: 6 [0], given: 0

Manager
Joined: 25 Aug 2004
Posts: 170

Kudos [?]: 35 [0], given: 0

Location: MONTREAL

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01 Jan 2005, 14:07
It is A,

Total events: {6 x 6 x 6 x 6 x 6 x 6}

Requested events: 6P6

Answer: total events/requested event

Kudos [?]: 35 [0], given: 0

01 Jan 2005, 14:07
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# Six People are on an elevator that stops at exactly six

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