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# Each of the three charities in the Novel Grove Estates has 8

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Manager
Joined: 10 Jan 2006
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Each of the three charities in the Novel Grove Estates has 8 [#permalink]  03 Apr 2006, 21:39
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Each of the three charities in the Novel Grove Estates has 8 persons serving on its board of directors. If exactly 4 persons serve on 3 boards each and each pair of charities has 5 persons in common on their boards of directors, then how many distinct persons serve on one or more of boards of directors?

A. 8
B. 13
C. 16
D. 24
E. 27
Senior Manager
Joined: 22 Jun 2005
Posts: 364
Location: London
Followers: 1

Kudos [?]: 4 [0], given: 0

[#permalink]  04 Apr 2006, 00:58
13

p1=boardmember 1

Board1= p1, p2, p3, p4, p5, p6 and 2 other
B2=p1, p2, p3, p4, p5, p7 and 2 other
B3=p1, p2, p3, p4, p6, p7 and 2 other

Count num of people: 13
[#permalink] 04 Apr 2006, 00:58
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# Each of the three charities in the Novel Grove Estates has 8

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