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# A committee is composed of a president, a vice president, an

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Senior Manager
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A committee is composed of a president, a vice president, an [#permalink]  08 Oct 2017, 22:41
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Question Stats:

100% (00:28) correct 0% (00:00) wrong based on 5 sessions
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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[Reveal] Spoiler: OA
Director
Joined: 20 Apr 2016
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WE: Engineering (Energy and Utilities)
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Re: A committee is composed of a president, a vice president, an [#permalink]  09 Oct 2017, 00:30
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

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Since we need to have a committee consisting of 1 president out of 5 people, 1 vice president out of 6 people and 1 treasurer out of three people

i.e we can write as - 5C1 * 6C1 * 3C1 = 90
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Re: A committee is composed of a president, a vice president, an [#permalink]  05 Dec 2018, 05:08
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We can use simple FCP here.

5*6*3 = 90
Re: A committee is composed of a president, a vice president, an   [#permalink] 05 Dec 2018, 05:08
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