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# A certain law firm consists of 4 senior partners and 6

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Manager
Joined: 21 Mar 2007
Posts: 72

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A certain law firm consists of 4 senior partners and 6 [#permalink]

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14 May 2008, 17:35
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

A certain law firm consists of 4 senior partners and 6 junior partners. How many different groups of 3 partners can be formed in which at least one member of the group is a senior partner? (Two groups are considered different if at least one group member is different)
a) 48
b) 100
c) 120
d) 288
e) 600

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Intern
Joined: 22 Nov 2006
Posts: 12

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Re: GMATPrep combinatorics problem [#permalink]

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14 May 2008, 21:55
Ans. 10C3 - 6C3 = 100
Take total no of combinations irrespective of the identity of members in the group = 10C3
Total no combinations with no senior member in the group = 6C3
Total no with atleast one senior member = 10C3 - 6C3

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Re: GMATPrep combinatorics problem   [#permalink] 14 May 2008, 21:55
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# A certain law firm consists of 4 senior partners and 6

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