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Mgmat_ps

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Mgmat_ps [#permalink] New post 04 Feb 2007, 08:02
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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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 [#permalink] New post 04 Feb 2007, 08:10
Hi
the number of subcom with M and A is 4
The number of subcom that include M and 2 other members is 10
the required prob is 4/10
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 [#permalink] New post 04 Feb 2007, 09:55
The number of possible cases is the number of subcomitees that include michael, so we have:

Possible=M·5·4 = 20 cases
Possible cases including Michael and Anthony= M·A·4 = 4 cases

Therefore,

The ratio is = 4/20=1/5=20%
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 [#permalink] New post 04 Feb 2007, 09:59
number of subcom with M and A is 4
number of subcom that include M and 2 other members = 1*5*4 = 20


(4/20)*100= 20%
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Re: Mgmat_ps [#permalink] New post 04 Feb 2007, 10:08
No of possible 2 3-person committees = 6C3 = 20
Possible ways in which Mike and Anthony are always together = 4
(If Mike and Anthony are always together, then the third member can be one of the remaining 4)

% = 4/20 = 20%
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 [#permalink] New post 05 Feb 2007, 00:57
BG is right and the oa is c)40%. BG can you plz explain it as am still trying to figure it out.
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 [#permalink] New post 05 Feb 2007, 01:28
Hi Lali,

from the posts of the other members, i see that we all reach the same result about the number of subcoms with M&A together-4.
All possible subcoms that include M are , we take M, and we need 2 more people 5C2=10.
Think it helps
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Re: Mgmat_ps [#permalink] New post 05 Feb 2007, 05:09
the qus was a nice trap.
"of all the possible subcommittees that include Michael also include Anthony?"

so michael has to be in both cases.


lali 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?

A)20%
b)30%
c)40%
d)50%
e)60%
Re: Mgmat_ps   [#permalink] 05 Feb 2007, 05:09
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