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# There are four contestants in the competition for 6

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Intern
Joined: 17 Sep 2003
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There are four contestants in the competition for 6 [#permalink]  18 Sep 2003, 14:56
There are four contestants in the competition for 6 different prizes. A contestant can win only one prize. How many different outcomes are possible at the competition for the four contestants?

A) 15

B) 30

C) 60

D) 180

E) 360
Senior Manager
Joined: 22 May 2003
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Is it A?

6*5*4*3/4! = 15
Intern
Joined: 12 Sep 2003
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I think it's a permutation. I'd choose E.
Intern
Joined: 13 Sep 2003
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I think the correct answer is D.

Just try to imagine putting 4 ppl into 6 seats. where the four ppl can choose any of the 6 seats.

So its 6P4...OR 180.

my 2 cents....
Manager
Joined: 11 Mar 2003
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sudzpwc wrote:
I think the correct answer is D.

Just try to imagine putting 4 ppl into 6 seats. where the four ppl can choose any of the 6 seats.

So its 6P4...OR 180.

my 2 cents....

6P4 is = 360 (NOT 180) So the answer would be E.
Intern
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am,
thanks though.
sudz
SVP
Joined: 30 Oct 2003
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I did it this way.
Assume we have to seat 4 people in 6 chairs.
so Chose 4 seats first = 6C4 = 15
then 4 people can seat in 4! ways
so total ways = 6C4 * 4! = 15*24 = 360
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