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# A committee is composed of a president, a vice president, and a treasu

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Math Expert
Joined: 02 Sep 2009
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A committee is composed of a president, a vice president, and a treasu  [#permalink]

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17 Aug 2017, 01:11
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Difficulty:

5% (low)

Question Stats:

91% (00:50) correct 9% (01:15) wrong based on 93 sessions

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A committee is composed of a president, a vice president, and a treasurer. If five people are running for president, six people are running for vice president, and three are running for treasurer, how many unique committees result?

(A) 15
(B) 45
(C) 75
(D) 90
(E) 120

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Re: A committee is composed of a president, a vice president, and a treasu  [#permalink]

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17 Aug 2017, 02:29
I think it's 5*6*3 =90

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Re: A committee is composed of a president, a vice president, and a treasu  [#permalink]

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20 Aug 2017, 04:44
first position = 6 options
second position = 5 options
third position = 4 options

6*5*4= 120
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A committee is composed of a president, a vice president, and a treasu  [#permalink]

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20 Aug 2017, 04:55
Bunuel wrote:
A committee is composed of a president, a vice president, and a treasurer. If five people are running for president, six people are running for vice president, and three are running for treasurer, how many unique committees result?

(A) 15
(B) 45
(C) 75
(D) 90
(E) 120

There are 5c1(5) ways to choose a president from 5 people
There are 6c1(6) ways to choose a vice-president from 6 people
There are 3c1(3) ways to choose a treasurer from 3 people

Therefore, there must be 90(5*6*3) ways of choosing unique committees(Option D)
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Re: A committee is composed of a president, a vice president, and a treasu  [#permalink]

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24 Aug 2017, 04:44
5C1*6C1*3C1
90
D is the option
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Re: A committee is composed of a president, a vice president, and a treasu  [#permalink]

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29 Aug 2017, 16:17
Bunuel wrote:
A committee is composed of a president, a vice president, and a treasurer. If five people are running for president, six people are running for vice president, and three are running for treasurer, how many unique committees result?

(A) 15
(B) 45
(C) 75
(D) 90
(E) 120

Since five people are running for president, six people are running for vice president, and three are running for treasurer, the number of committees that can be created is 5 x 6 x 3 = 90 committees.

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Re: A committee is composed of a president, a vice president, and a treasu   [#permalink] 29 Aug 2017, 16:17
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# A committee is composed of a president, a vice president, and a treasu

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