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# A transport company employs five male officers and three female office

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Math Expert
Joined: 02 Sep 2009
Posts: 58464
A transport company employs five male officers and three female office  [#permalink]

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02 Oct 2018, 02:22
00:00

Difficulty:

5% (low)

Question Stats:

94% (00:53) correct 6% (01:30) wrong based on 34 sessions

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A transport company employs five male officers and three female officers. If a core group is to be created that is made up of three male officers and two female officer, how many different core groups are possible?

(A) 10
(B) 16
(C) 24
(D) 30
(E) 60

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NUS School Moderator
Joined: 18 Jul 2018
Posts: 1020
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: A transport company employs five male officers and three female office  [#permalink]

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02 Oct 2018, 02:30
Selecting 3 males out of 5.
5$$C_3$$ = 10.

Selecting 2 females out of 3.
3$$C_2$$ =3.

Total ways = 10*3 = 30.

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Re: A transport company employs five male officers and three female office   [#permalink] 02 Oct 2018, 02:30
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