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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
1
1
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A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

58% (01:15) correct 42% (01:08) wrong based on 81 sessions

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GMAT Club Legend
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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
1
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
1
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]

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New post 21 Oct 2019, 12:39
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


Look at who gets to pick in this situation?
The award gets to pick whom to select and not the contestant.
So first award can decide to go to Contestant #1 = 6 ways
So second award can decide to go to Contestant #2 = 5 ways
So third award can decide to go to Contestant #3 = 4 ways
So fourth award can decide to go to Contestant #4 = 3 ways

So that's 6*5*4*3=360
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Re: There are four contestants in the competition for 6 different prizes.   [#permalink] 21 Oct 2019, 12:39
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There are four contestants in the competition for 6 different prizes.

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