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Sherry supervises a crew of maintenance engineers for an off

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CEO
CEO
User avatar
Joined: 07 Jun 2014
Posts: 3223
GRE 1: 323 Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 64

Kudos [?]: 1008 [0], given: 184

CAT Tests
Sherry supervises a crew of maintenance engineers for an off [#permalink] New post 30 Dec 2017, 14:11
Expert's post
00:00

Question Stats:

100% (02:02) correct 0% (00:00) wrong based on 3 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
A, B, D

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Sandy
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CEO
CEO
User avatar
Joined: 07 Jun 2014
Posts: 3223
GRE 1: 323 Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 64

Kudos [?]: 1008 [0], given: 184

CAT Tests
Re: Sherry supervises a crew of maintenance engineers for an off [#permalink] New post 12 Jan 2018, 15:33
Expert's post
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).
_________________

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

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