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# A septet, a group composed of seven players, is made up of

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Joined: 20 May 2014
Posts: 113
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Kudos [?]: 24 [0], given: 84

A septet, a group composed of seven players, is made up of [#permalink]  08 Oct 2017, 22:44
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A septet, a group composed of seven players, is made up of four strings and three woodwind instruments. If seven students try out for strings and seven different students try out for woodwinds, how many unique septets can result?

(A) 35
(B) 70
(C) 210
(D) 420
(E) 1225

Kudos for correct solution.
[Reveal] Spoiler: OA
Manager
Joined: 20 Apr 2016
Posts: 202
Followers: 1

Kudos [?]: 118 [1] , given: 52

Re: A septet, a group composed of seven players, is made up of [#permalink]  09 Oct 2017, 02:04
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Bunuel wrote:
A septet, a group composed of seven players, is made up of four strings and three woodwind instruments. If seven students try out for strings and seven different students try out for woodwinds, how many unique septets can result?

(A) 35
(B) 70
(C) 210
(D) 420
(E) 1225

Kudos for correct solution.

Here we need to choose 4 strings out of 7 and 3 woodwind out of 7

i.e 7C4 * 7C3

= 35 * 35 =1225
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Re: A septet, a group composed of seven players, is made up of   [#permalink] 09 Oct 2017, 02:04
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