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A certain law firm consists of 4 senior partners and 6

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Senior Manager
Senior Manager
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Joined: 08 Aug 2005
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A certain law firm consists of 4 senior partners and 6 [#permalink]

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New post 22 Jul 2006, 05:07
00:00
A
B
C
D
E

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(N/A)

Question Stats:

100% (00:00) correct 0% (00:00) wrong based on 2 sessions

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A certain law firm consists of 4 senior partners and 6 junior partners. How many different group of 3 partners can be formed in which at least one member of the group is a senior partner?
48
100
120
288
600

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Intern
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Joined: 14 May 2006
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I will go with B=100 [#permalink]

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New post 22 Jul 2006, 11:29
Committe can be formed as
1 SP +2 JP
2 SP + 1 JP
3 Sp

So selction is possible in
4C1*6C2 + 4C2*6C1+ 4C3 ways. So total 60+36+4 = 100 ways.

Pravin

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Senior Manager
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Location: Rancho Palos Verdes
Re: PS GMAT Prep [#permalink]

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New post 22 Jul 2006, 11:39
Total outcome 10C3 = 120
groups only consist of junior partners 6C3 = 20

Thus, 120-20 = 100
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Director
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Re: PS GMAT Prep [#permalink]

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New post 22 Jul 2006, 15:58
getzgetzu wrote:
A certain law firm consists of 4 senior partners and 6 junior partners. How many different group of 3 partners can be formed in which at least one member of the group is a senior partner?
48
100
120
288
600


B

3 ways of forming the group

1S + 2J: 4c1x6c2=60
2S + 1J: 4c2x6c1=36
3S +0J: 4c3=4
total =60+36+4=100

Kudos [?]: 18 [0], given: 0

Re: PS GMAT Prep   [#permalink] 22 Jul 2006, 15:58
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A certain law firm consists of 4 senior partners and 6

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