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A certain law firm consists of 4 senior partners and 6

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

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New post 31 Aug 2008, 11:03
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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Re: GMAT PREP Combinatorics Q  [#permalink]

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New post 31 Aug 2008, 11:58
1
lionheart187 wrote:
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


(4C1*6C2) * (4C2*6C1) * (4C3*6C0) = 60+36+4 = 100

What is OA?
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Re: GMAT PREP Combinatorics Q  [#permalink]

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New post 31 Aug 2008, 12:17
1
leonidas wrote:
lionheart187 wrote:
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


(4C1*6C2) * (4C2*6C1) * (4C3*6C0) = 60+36+4 = 100

What is OA?


(4C1*6C2) + (4C2*6C1) + (4C3*6C0) = 60+36+4 = 100
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Re: GMAT PREP Combinatorics Q  [#permalink]

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New post 31 Aug 2008, 12:22
GMAT TIGER wrote:
leonidas wrote:
lionheart187 wrote:
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


(4C1*6C2) * (4C2*6C1) * (4C3*6C0) = 60+36+4 = 100

What is OA?


(4C1*6C2) + (4C2*6C1) + (4C3*6C0) = 60+36+4 = 100


Oops!! Good catch GMAT TIGER.
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Re: GMAT PREP Combinatorics Q  [#permalink]

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New post 01 Sep 2008, 00:51
Bump for a little more clarification.
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Re: GMAT PREP Combinatorics Q  [#permalink]

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New post 01 Sep 2008, 00:57
dominion wrote:
Bump for a little more clarification.


you need atleast one senior partner ( group can have one senior parter or two senior partner or three senior partners)
= 1 Senior 2 Juniors+ 2 Seniors 1 Junior + 3 Senior 0 Juniors
(4C1*6C2) + (4C2*6C1) + (4C3*6C0) = 60+36+4 = 100
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Re: GMAT PREP Combinatorics Q  [#permalink]

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New post 02 Sep 2008, 10:07
lionheart187 wrote:
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


10C3 - 6C3 = 120-20 = 100
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Re: GMAT PREP Combinatorics Q  [#permalink]

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New post 02 Sep 2008, 22:20
zoinnk wrote:
lionheart187 wrote:
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


10C3 - 6C3 = 120-20 = 100


out of the box. nice.

--== Message from the GMAT Club Team ==--

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This discussion does not meet community quality standards. It has been retired.


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

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New post 15 Jul 2018, 14:33
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).

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Re: A certain law firm consists of 4 senior partners and 6 &nbs [#permalink] 15 Jul 2018, 14:33
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