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Six People are on an elevator that stops at exactly six

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Six People are on an elevator that stops at exactly six [#permalink] New post 30 Dec 2004, 22:44
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
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 [#permalink] New post 30 Dec 2004, 23:47
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.
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 [#permalink] New post 01 Jan 2005, 13:07
It is A,

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

Requested events: 6P6

Answer: total events/requested event
  [#permalink] 01 Jan 2005, 13:07
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Six People are on an elevator that stops at exactly six

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