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From a 9-player softball team, 4 will be selected randomly to be inter

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Joined: 02 Sep 2009
Posts: 50049
From a 9-player softball team, 4 will be selected randomly to be inter  [#permalink]

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New post 16 Apr 2018, 05:29
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

89% (00:49) correct 11% (01:07) wrong based on 34 sessions

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From a 9-player softball team, 4 will be selected randomly to be interviewed by reporters after the game. How many different groups are possible for the interview?

A. 56
B. 63
C. 84
D. 105
E. 126

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Re: From a 9-player softball team, 4 will be selected randomly to be inter  [#permalink]

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New post 16 Apr 2018, 07:33
Bunuel wrote:
From a 9-player softball team, 4 will be selected randomly to be interviewed by reporters after the game. How many different groups are possible for the interview?

A. 56
B. 63
C. 84
D. 105
E. 126


As we're explicitly told what we need to calculate, we'll just do it.
This is a Precise approach.

We're asked how many group of 4 people can be created out of 9.
This is 9C4 (9 choose 4) and its equation is 9!/(4!*5!) = (9*8*7*6)/(4*3*2*1).
Canceling out 6 with 3*2 and 8 with 4 leaves (9*2*7)/1 = 63*2=126.

(E) is our answer.
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Re: From a 9-player softball team, 4 will be selected randomly to be inter &nbs [#permalink] 16 Apr 2018, 07:33
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