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# A club with a total membership of 30 has formed 3 committees

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Manager
Joined: 23 Mar 2008
Posts: 216

Kudos [?]: 202 [0], given: 0

A club with a total membership of 30 has formed 3 committees [#permalink]

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10 May 2008, 23:19
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

A club with a total membership of 30 has formed 3 committees M,S and R, which have 8,12 and 5 memebers respectively. If no member of committee M is on either of the other 2 committees, what is the greatest possible number of members in the club who are on none of the committees?

a) 5
b) 7
c) 8
d) 10
e) 12

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Director
Joined: 23 Sep 2007
Posts: 782

Kudos [?]: 246 [0], given: 0

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10 May 2008, 23:45
10

all 5 members of group S can be part of group R (which is 12)

12 (group S/R) + 8 (groupM) = 20

30-20=10

Kudos [?]: 246 [0], given: 0

Intern
Joined: 29 Apr 2008
Posts: 21

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11 May 2008, 06:45
10 used same logic as gmatnub

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Re: committee   [#permalink] 11 May 2008, 06:45
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# A club with a total membership of 30 has formed 3 committees

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