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A manager must select 2 people from a group of 4 employees.
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08 Oct 2017, 22:33
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
Kudos for correct solution.
(A) 2
(B) 6
(C) 8
(D) 12
(E) 16
Kudos for correct solution.
Re: A manager must select 2 people from a group of 4 employees.
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09 Oct 2017, 00:45
09 Oct 2017, 00:45
1
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.
(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.
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02 Jan 2018, 09:25
02 Jan 2018, 09:25
Expert Reply
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
(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
