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A manager must select 2 people from a group of 4 employees.

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Senior Manager
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A manager must select 2 people from a group of 4 employees. [#permalink] New post 08 Oct 2017, 22:33
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A manager must select 2 people from a group of 4 employees. One person will be the shop steward and the other person will be the treasurer. In how many different ways can this be accomplished?

(A) 2

(B) 6

(C) 8

(D) 12

(E) 16

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Re: A manager must select 2 people from a group of 4 employees. [#permalink] New post 09 Oct 2017, 00:45
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Bunuel wrote:
A manager must select 2 people from a group of 4 employees. One person will be the shop steward and the other person will be the treasurer. In how many different ways can this be accomplished?

(A) 2

(B) 6

(C) 8

(D) 12

(E) 16

Kudos for correct solution.


Here we need 1 shop steward and 1 treasurer out of 4 people.

SO we can use FCP method

i.e 4 * 3 = 12 ways (as we can choose the shop steward in 4 ways and we are left with three people so the treasure is chosen in 3 ways)
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Re: A manager must select 2 people from a group of 4 employees. [#permalink] New post 02 Jan 2018, 09:25
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Bunuel wrote:
A manager must select 2 people from a group of 4 employees. One person will be the shop steward and the other person will be the treasurer. In how many different ways can this be accomplished?

(A) 2

(B) 6

(C) 8

(D) 12

(E) 16


Since we have specific positions in the group, order matters, and so we have a permutation. Thus, the number of ways to select a steward and a treasurer from 4 employees is 4P2 = 4!/2! = 4 x 3 = 12 ways.

Answer: D
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Re: A manager must select 2 people from a group of 4 employees.   [#permalink] 02 Jan 2018, 09:25
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A manager must select 2 people from a group of 4 employees.

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