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A committee is to be created from some employees at Bongo

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by VJesus12 » Sun Apr 28, 2019 9:47 am
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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

[spoiler]OA=E[/spoiler]

Source: Princeton Review
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by Jay@ManhattanReview » Mon Apr 29, 2019 12:36 am
VJesus12 wrote: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

[spoiler]OA=E[/spoiler]

Source: Princeton Review
Number of different committees are possible = 5C3 * 6C4 = 5C2 * 6C2 = (5.4/1.2) *(6.5/1.2) = 150

The correct answer: E

Hope this helps!

-Jay
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by Scott@TargetTestPrep » Wed May 01, 2019 4:13 pm
VJesus12 wrote: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

[spoiler]OA=E[/spoiler]

Source: Princeton Review
he number of possible committees is:

5C3 x 6C4

= (5 x 4 x 3)/3! x (6 x 5 x 4 x 3)/4!

= (5 x 4 x 3)/(3 x 2) x (6 x 5 x 4 x 3)/(4 x 3 x 2)

= 5 x 2 x 5 x 3 = 150

Answer: 5/E

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