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Paul and Allen are choosing ties out of a selection of three

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CEO
CEO
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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
Paul and Allen are choosing ties out of a selection of three [#permalink] New post 30 Dec 2017, 14:31
Expert's post
00:00

Question Stats:

75% (00:37) correct 25% (00:00) wrong based on 4 sessions
Paul and Allen are choosing ties out of a selection of three distinct red ties, five distinct green ties, and six distinct blue ties. If Paul and Allen each wear one tie, how many different ways could they wear ties of the same color?

Drill 2
Question: 14
Page: 565


[Reveal] Spoiler: OA
56

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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: Paul and Allen are choosing ties out of a selection of three [#permalink] New post 12 Jan 2018, 15:37
Expert's post
Explanation

This problem involves permutations, because the order matters since the ties are all distinct. Start with Paul wearing a red tie. He has 3 red tie choices and Allen has 2 remaining red tie choices, giving them a product of 6 permutations.

For green ties, they have 5 × 4 = 20 permutations. For blue ties, they have 6 × 5 = 30 permutations. The grand total is 56 permutations.
_________________

Sandy
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Re: Paul and Allen are choosing ties out of a selection of three   [#permalink] 12 Jan 2018, 15:37
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Paul and Allen are choosing ties out of a selection of three

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