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Subcommitees

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VP
Joined: 18 May 2008
Posts: 1201

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13 Feb 2009, 03:14
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?

20
30
40
50
60

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Director
Joined: 27 May 2008
Posts: 539

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13 Feb 2009, 03:31
ritula 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?

20
30
40
50
60

Total number of subcommitees = 6C3 = 20

Number of subcommitees with "M" = 5C2 = 10 (take M and any 2 from the rest 5)
Number of subcommitees with "M" and "A" = 4C1 = 4 (take M and A and any 1 from the rest 4)

% = 4/10 * 100 = 40% ---> option C
Manager
Joined: 27 May 2008
Posts: 197

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13 Feb 2009, 03:41
C

number of ways you can split the team into 2

6C3 = 20

number of ways u can select a group where both ppl are in same group,

4C1 (since 2 person in a grp is already fixed and we are going to select 3 rd person from group of 4 ppl)

and again this is for 2 groups, so 4C1 + 4C1 = 8

So 8/20 = 40%

--== Message from GMAT Club Team ==--

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If you would like to discuss this question please re-post it in the respective forum. Thank you!

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Re: Subcommitees   [#permalink] 13 Feb 2009, 03:41
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