It is currently 24 Jun 2017, 19:10

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

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

Author Message
Senior Manager
Joined: 08 Aug 2005
Posts: 251
A certain law firm consists of 4 senior partners and 6 [#permalink]

### Show Tags

22 Jul 2006, 06:07
00:00

Difficulty:

(N/A)

Question Stats:

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

### HideShow timer Statistics

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 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
Intern
Joined: 14 May 2006
Posts: 31
I will go with B=100 [#permalink]

### Show Tags

22 Jul 2006, 12:29
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
Senior Manager
Joined: 22 May 2006
Posts: 368
Location: Rancho Palos Verdes

### Show Tags

22 Jul 2006, 12:39
Total outcome 10C3 = 120
groups only consist of junior partners 6C3 = 20

Thus, 120-20 = 100
_________________

The only thing that matters is what you believe.

Director
Joined: 28 Dec 2005
Posts: 752

### Show Tags

22 Jul 2006, 16:58
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
Re: PS GMAT Prep   [#permalink] 22 Jul 2006, 16:58
Display posts from previous: Sort by