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MGMAT CAT Question - Subcommittee Probability

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by MonicaKhan » Sun Jun 10, 2007 4:38 pm
Anthony and Michael sit on the six-member board of directors for company X. If the board is to be split up into 2 three-person subcommittees, what percent of all the possible subcommittees that include Michael also include Anthony?

A) 20%
B) 30%
C) 40%
D) 50%
E) 60%
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Re: MGMAT CAT Question - Subcommittee Probability

by jayhawk2001 » Sun Jun 10, 2007 5:00 pm
MonicaKhan wrote:Anthony and Michael sit on the six-member board of directors for company X. If the board is to be split up into 2 three-person subcommittees, what percent of all the possible subcommittees that include Michael also include Anthony?
Number of possible sub-committees with Michael = M _ _

The 2 spaces can be filled by 5 people in 5C2 ways (you have to use C
not P to prune duplicates) = 10 ways

Similarly, number of possible sub-comm with M & A = M A _

The space can be filed in 4 possible ways.

So, probability = 4 / 10 * 100 = 40%
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by MonicaKhan » Sun Jun 10, 2007 5:57 pm
Thanks!
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