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Ratio - PS

by karthikpandian19 » Tue Dec 06, 2011 12:14 am
If there are 16 people to choose from, what is the ratio of the number of possible 7-person committees to the number of possible 8-person committees?

(A) 7:8 (B) 8:7(C) 7:9(D) 8:9(E) 9:8
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by Anurag@Gurome » Tue Dec 06, 2011 12:19 am
karthikpandian19 wrote:If there are 16 people to choose from, what is the ratio of the number of possible 7-person committees to the number of possible 8-person committees?

(A) 7:8 (B) 8:7(C) 7:9(D) 8:9(E) 9:8
7-person committee can be formed in 16C7:16C8 = 16!/(7!)(9!) : 16!/(8!)(8!) = [spoiler]8/9[/spoiler]

The correct answer is D.
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