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Sherry supervises a crew of maintenance engineers for an off

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Retired Moderator
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Sherry supervises a crew of maintenance engineers for an off [#permalink] New post 30 Dec 2017, 14:11
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Question Stats:

93% (01:43) correct 6% (-1:-46) wrong based on 16 sessions
Sherry supervises a crew of maintenance engineers for an office building. If there are 5 experienced maintenance engineers and 3 apprentice engineers and the engineers are sent out on jobs in teams, which of the following must be true?

Indicate all possible values.

A. There are 10 different 3-person teams of experienced engineers she could send.
B. There are 3 different 2-person teams of apprentice engineers she could send.
C. There are 2 different 2-person teams of apprentice engineers she could send.
D. There are 10 different 2-person teams of experienced engineers she could send.
E. There are 10 different 4-person teams of experienced engineers she could send.

Drill 2
Question: 11
Page: 564-565
[Reveal] Spoiler: OA

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Last edited by Carcass on 17 Jun 2020, 08:53, edited 1 time in total.
Updated
Retired Moderator
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Joined: 07 Jun 2014
Posts: 4804
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 163

Kudos [?]: 2776 [0], given: 394

Re: Sherry supervises a crew of maintenance engineers for an off [#permalink] New post 12 Jan 2018, 15:33
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Explanation

Starting with choice (A), there are 3 slots on the team, with 5 experienced engineers available for the first slot, 4 for the second slot, and 3 for the third slot. Order doesn’t matter, so divide by 3! to get \(\frac{5 \times 4 \times 3}{3 \times 2 \times 1}= 10\). Choice (A) is correct.

For choice (B), you have 3 apprentice engineers available for 2 slots and once again, order doesn’t matter. \(\frac{3 \times 2}{2 \times 1}= 3\). Choice (B) is correct and you can eliminate choice (C), which contradicts choice (B).


For choice (D) you have \(\frac{5 \times 4}{1 \times 2}= 10\), so choice (D) is correct.

Choice (E) is incorrect because \(\frac{5 \times 4 \times 3 \times 2}{4 \times 3 \times 2 \times 1}= 5\). The correct answers are choices (A), (B), and (D).
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Re: Sherry supervises a crew of maintenance engineers for an off [#permalink] New post 17 Jun 2020, 05:49
I have a mini question here:
in B, when we do the math we get three after applying combination formula.
In C, the answer is also 3, which is less than two. So, having two different teams is embedded in 3 ? Could we think that or it is totally wrong?
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Re: Sherry supervises a crew of maintenance engineers for an off [#permalink] New post 17 Jun 2020, 08:57
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As Sandy at the time pointed out, C is false because you do have 3of 2 and NOT 2 of 2
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Re: Sherry supervises a crew of maintenance engineers for an off   [#permalink] 17 Jun 2020, 08:57
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