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

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Manager
Joined: 14 Jun 2008
Posts: 161
Anthony and Michael sit on the six-member board of directors [#permalink]

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20 Jul 2008, 07:52
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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 and Anthony?

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also other ways of thinking would be great

Last edited by sset009 on 20 Jul 2008, 07:55, edited 1 time in total.
Manager
Joined: 14 Jun 2008
Posts: 161

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20 Jul 2008, 07:54
for this using event probability

since anothony and michael are on two positions, there are only four commities that can have these two together

therefore valid events = 4,

but is the universse of evetns = 6C3 or 6C3 x 2?
Senior Manager
Joined: 09 Oct 2007
Posts: 466

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20 Jul 2008, 20:48
I saw this question on a MGMAT CAT.

If you have both Michael in the first subcommittee, then you have five different board members available to fill the two extra spot, therefore, Anthony has a chance of 2 in 5, or 40%.
Re: made up question - no OA   [#permalink] 20 Jul 2008, 20:48
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