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# A committee is to be created from some employees at Bongo Industrials.

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VP
Status: It's near - I can see.
Joined: 13 Apr 2013
Posts: 1265
Location: India
GMAT 1: 480 Q38 V22
GPA: 3.01
WE: Engineering (Consulting)
A committee is to be created from some employees at Bongo Industrials.  [#permalink]

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31 Jul 2018, 10:44
00:00

Difficulty:

5% (low)

Question Stats:

86% (00:56) correct 14% (01:28) wrong based on 35 sessions

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A committee is to be created from some employees at Bongo Industrials. The committee must include exactly 3 senior executives and 4 junior executives. If 5 senior executives and 6 junior executives are available for the committee, how many different committees are possible?

1. 10
2. 15
3. 25
4. 60
5. 150

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Manager
Joined: 13 Feb 2018
Posts: 135
Re: A committee is to be created from some employees at Bongo Industrials.  [#permalink]

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31 Jul 2018, 11:05
3 Senior executives out of 5 --> $$\frac{5!}{3!2!}$$=10
4 junior executive out of 6 --> $$\frac{6!}{4!2!}$$=15

10*15=150 total possible committees

Note we use Combinations, because we dont care the inside order of chosen executives

IMO
Ans: E
Re: A committee is to be created from some employees at Bongo Industrials. &nbs [#permalink] 31 Jul 2018, 11:05
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