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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] New post 08 Oct 2017, 22:41
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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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[Reveal] Spoiler: OA
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Re: A committee is composed of a president, a vice president, an [#permalink] New post 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


Kudos for correct solution.


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] New post 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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A committee is composed of a president, a vice president, an

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