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

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

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31 Aug 2008, 12:03
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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: 348

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Re: GMAT PREP Combinatorics Q [#permalink]

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31 Aug 2008, 12:58
1
KUDOS
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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SVP
Joined: 29 Aug 2007
Posts: 2472

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Re: GMAT PREP Combinatorics Q [#permalink]

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31 Aug 2008, 13:17
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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Kudos [?]: 841 [0], given: 19

Senior Manager
Joined: 29 Mar 2008
Posts: 348

Kudos [?]: 96 [0], given: 0

Re: GMAT PREP Combinatorics Q [#permalink]

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31 Aug 2008, 13:22
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

Kudos [?]: 96 [0], given: 0

Manager
Joined: 15 Nov 2007
Posts: 135

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Re: GMAT PREP Combinatorics Q [#permalink]

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01 Sep 2008, 01:51
Bump for a little more clarification.

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Location: New York
Re: GMAT PREP Combinatorics Q [#permalink]

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01 Sep 2008, 01:57
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
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Schools: Wharton
Re: GMAT PREP Combinatorics Q [#permalink]

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02 Sep 2008, 11:07
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

Kudos [?]: 162 [0], given: 0

Manager
Joined: 15 Nov 2007
Posts: 135

Kudos [?]: 56 [0], given: 2

Re: GMAT PREP Combinatorics Q [#permalink]

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02 Sep 2008, 23:20
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.

Kudos [?]: 56 [0], given: 2

Re: GMAT PREP Combinatorics Q   [#permalink] 02 Sep 2008, 23:20
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