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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: 171
Location: MONTREAL
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Six People are on an elevator that stops at exactly six [#permalink]  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
Manager
Joined: 21 Jun 2004
Posts: 239
Followers: 1

Kudos [?]: 1 [0], given: 0

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.
Manager
Joined: 25 Aug 2004
Posts: 171
Location: MONTREAL
Followers: 1

Kudos [?]: 10 [0], given: 0

It is A,

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

Requested events: 6P6

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