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A club has 8 male and 8 female members. The club is choosing a committ

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Math Expert
Joined: 02 Sep 2009
Posts: 43789
A club has 8 male and 8 female members. The club is choosing a committ [#permalink]

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05 Nov 2017, 00:49
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Difficulty:

25% (medium)

Question Stats:

76% (00:50) correct 24% (00:37) wrong based on 55 sessions

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A club has 8 male and 8 female members. The club is choosing a committee of 6 members. The committee must have 3 male and 3 female members. How many different committees can be chosen?

(A) 112,896
(B) 3,136
(C) 720
(D) 112
(E) 9
[Reveal] Spoiler: OA

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Joined: 26 Feb 2016
Posts: 2033
Location: India
GPA: 3.12
Re: A club has 8 male and 8 female members. The club is choosing a committ [#permalink]

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05 Nov 2017, 01:32
Bunuel wrote:
A club has 8 male and 8 female members. The club is choosing a committee of 6 members. The committee must have 3 male and 3 female members. How many different committees can be chosen?

(A) 112,896
(B) 3,136
(C) 720
(D) 112
(E) 9

Since there are 8 male and female members
and we need to choose 3 members each for the committee,

we could choose them as follows: $$8c3*8c3 = 56^2 = 3136$$(Option B)
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Re: A club has 8 male and 8 female members. The club is choosing a committ   [#permalink] 05 Nov 2017, 01:32
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