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There are four contestants in the competition for 6 different prizes.

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Math Expert
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There are four contestants in the competition for 6 different prizes.  [#permalink]

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New post 21 Mar 2019, 03:36
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

46% (01:27) correct 54% (01:15) wrong based on 46 sessions

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Re: There are four contestants in the competition for 6 different prizes.  [#permalink]

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New post 21 Mar 2019, 03:40
Bunuel wrote:
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


prizes can be won
6*5*4*3= 360
IMO E
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Re: There are four contestants in the competition for 6 different prizes.  [#permalink]

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New post 21 Mar 2019, 05:50
Ways with which 4 people be selected out of 6 = 6c4 = 15.
Total number of outcomes = 6c4 * 4! = 360.

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Re: There are four contestants in the competition for 6 different prizes.  [#permalink]

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New post 24 Mar 2019, 18:22
Bunuel wrote:
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


The number of possible outcomes is 6P4 = 6!/( 6 - 4)! = 6!/2! = 6 x 5 x 4 x 3 = 360.

Answer: E
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Re: There are four contestants in the competition for 6 different prizes.   [#permalink] 24 Mar 2019, 18:22
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There are four contestants in the competition for 6 different prizes.

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