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Anthony and Michael sit on the six-member board of directors for compa

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Re: Anthony and Michael sit on the six-member board of directors for compa  [#permalink]

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New post 15 Jun 2017, 11:00
jwang516 wrote:
I understand why 40% is the right answer but I have a question on why this approach doesn't work

Considering there are 2 subcommities A and B
Both Anthony and Michael can be in subcommity A or B

Therefore, we have:
Anthony in A and Michael in A
Anthony in B and Michael in A
Anthony in A and Michael in B
Anthony in B and Michael in B

They are in the same group in 2 of the 4 situations. Therefore 50%.

What part of this logic here is incorrect? Thanks!


Note what the question is: what percent of all the possible subcommittees that include Michael also include Anthony

So out of all subcommittees that include Michael, how many include Anthony too?

All subcommittees that include Michael = 1*5C2 = 10
Out of these 10, how many will have Anthony too? Michael, Anthony and the third person can be picked in 4 ways (out of 4 remaining people) = 4

Hence 4/10
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Re: Anthony and Michael sit on the six-member board of directors for compa  [#permalink]

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New post 30 Dec 2018, 11:46
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Re: Anthony and Michael sit on the six-member board of directors for compa   [#permalink] 30 Dec 2018, 11:46

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