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

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Manager
Joined: 02 Jun 2008
Posts: 79
A certain law firm consists of 4 senior partners and 6  [#permalink]

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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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Senior Manager
Joined: 29 Mar 2008
Posts: 328
Re: GMAT PREP Combinatorics Q  [#permalink]

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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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To find what you seek in the road of life, the best proverb of all is that which says:
"Leave no stone unturned."
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Joined: 29 Aug 2007
Posts: 2359
Re: GMAT PREP Combinatorics Q  [#permalink]

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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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Senior Manager
Joined: 29 Mar 2008
Posts: 328
Re: GMAT PREP Combinatorics Q  [#permalink]

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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.
_________________

To find what you seek in the road of life, the best proverb of all is that which says:
"Leave no stone unturned."
-Edward Bulwer Lytton

Manager
Joined: 15 Nov 2007
Posts: 132
Re: GMAT PREP Combinatorics Q  [#permalink]

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01 Sep 2008, 00:51
Bump for a little more clarification.
SVP
Joined: 07 Nov 2007
Posts: 1664
Location: New York
Re: GMAT PREP Combinatorics Q  [#permalink]

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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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Director
Joined: 12 Jul 2008
Posts: 505
Schools: Wharton
Re: GMAT PREP Combinatorics Q  [#permalink]

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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
Manager
Joined: 15 Nov 2007
Posts: 132
Re: GMAT PREP Combinatorics Q  [#permalink]

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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 ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Non-Human User
Joined: 09 Sep 2013
Posts: 9419
Re: A certain law firm consists of 4 senior partners and 6  [#permalink]

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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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