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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, 22:39
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A committee is composed of a president, a vice president, and a treasurer. If six people are trying out for the three positions, how many different committees result?

(A) 20
(B) 40
(C) 60
(D) 105
(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, 00:34
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Bunuel wrote:
A committee is composed of a president, a vice president, and a treasurer. If six people are trying out for the three positions, how many different committees result?

(A) 20
(B) 40
(C) 60
(D) 105
(E) 120


Kudos for correct solution.


Here we have 6 people and from 6 people 1 president, 1 vice president and 1 treasurer is choosen.

SO we use the Fundamental counting

i.e 6 * 5 * 4

(For president we have 6 people to choose from, For vice president we are left with 5 people to choose from, For treasure we are left with 4 people to choose from)

= 120
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Re: A committee is composed of a president, a vice president, an [#permalink] New post 02 Jan 2018, 09:10
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Bunuel wrote:
A committee is composed of a president, a vice president, and a treasurer. If six people are trying out for the three positions, how many different committees result?

(A) 20
(B) 40
(C) 60
(D) 105
(E) 120


Since we have specific positions on the committee, order matters and we have a permutation. Thus, the number of ways to select 3 people from 6 is 6P3 = 6!/3! = 6 x 5 x 4 = 120.

Answer: E
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Re: A committee is composed of a president, a vice president, an   [#permalink] 02 Jan 2018, 09:10
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