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A committee that includes 6 members is about to be divided

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Manager
Joined: 01 Nov 2016
Posts: 66
Concentration: Technology, Operations
Re: A committee that includes 6 members is about to be divided  [#permalink]

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16 Apr 2017, 11:37
sstasic wrote:
This is equivalent to: We have 6 chairs divided in 2 Groups: A and B each with 3 chairs. If Michael sits on the first chair in the group A, what is the posibility that David sits on any of another 2 available chairs in Group A?

So: A: M _ _ / B: _ _ _
There are 2 chairs in Group A for favorable outcomes and 5 available chairs as total possible outcomes. The answer is 2/5

This is the only explanation that 100% makes sense to me. Kudos to you
Intern
Joined: 12 Feb 2016
Posts: 3
Re: A committee that includes 6 members is about to be divided  [#permalink]

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16 Apr 2017, 12:42
M and D in different groups: (2/6)*(4/5)*(3/4)*3*2 = 6/10 = 60%
(2/6: choose M or D from 6 people
4/5: 4 ways to choose 1 person from 5 people, except M or D who has been already chosen
3/4: 3 ways to choose the last person for the 1st group
3 different orders of choosing the 1st 3 persons for the 1st group
2 different orders of choosing the groups)
--> M and D in the same group: 1 - 60% = 40%
SVP
Joined: 12 Dec 2016
Posts: 1607
Location: United States
GMAT 1: 700 Q49 V33
GPA: 3.64
Re: A committee that includes 6 members is about to be divided  [#permalink]

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16 Apr 2017, 14:10
now, there is a similar problem, if there are 9 committees divided into 3 equal sub-committees, what is chance that both Michael and Bose are in the same sub?

According to re-interpretation of the problem, it should be 2/8 = 25%
My method, also known as traditional method, is 7C1 / 9C3 = 1/12 for the first sub, then the chance should be 3 * 1/12 = 1/4
Non-Human User
Joined: 09 Sep 2013
Posts: 9424
Re: A committee that includes 6 members is about to be divided  [#permalink]

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22 Apr 2018, 17:07
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
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Re: A committee that includes 6 members is about to be divided &nbs [#permalink] 22 Apr 2018, 17:07

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