GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 15 Aug 2018, 11:55

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

A certain law firm consists of 4 senior partners and 6

  post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Manager
Manager
avatar
Joined: 02 Jun 2008
Posts: 82
A certain law firm consists of 4 senior partners and 6  [#permalink]

Show Tags

New post 31 Aug 2008, 12:03
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

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

This is not a quality discussion. 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.
Senior Manager
Senior Manager
User avatar
Joined: 29 Mar 2008
Posts: 339
Re: GMAT PREP Combinatorics Q  [#permalink]

Show Tags

New post 31 Aug 2008, 12:58
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?
_________________

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

SVP
SVP
User avatar
Joined: 29 Aug 2007
Posts: 2420
Re: GMAT PREP Combinatorics Q  [#permalink]

Show Tags

New post 31 Aug 2008, 13:17
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
_________________

Verbal: http://gmatclub.com/forum/new-to-the-verbal-forum-please-read-this-first-77546.html
Math: http://gmatclub.com/forum/new-to-the-math-forum-please-read-this-first-77764.html
Gmat: http://gmatclub.com/forum/everything-you-need-to-prepare-for-the-gmat-revised-77983.html


GT

Senior Manager
Senior Manager
User avatar
Joined: 29 Mar 2008
Posts: 339
Re: GMAT PREP Combinatorics Q  [#permalink]

Show Tags

New post 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

Manager
Manager
avatar
Joined: 15 Nov 2007
Posts: 133
Re: GMAT PREP Combinatorics Q  [#permalink]

Show Tags

New post 01 Sep 2008, 01:51
Bump for a little more clarification.
SVP
SVP
User avatar
Joined: 07 Nov 2007
Posts: 1728
Location: New York
Re: GMAT PREP Combinatorics Q  [#permalink]

Show Tags

New post 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
_________________

Your attitude determines your altitude
Smiling wins more friends than frowning

Director
Director
User avatar
Joined: 12 Jul 2008
Posts: 511
Schools: Wharton
Re: GMAT PREP Combinatorics Q  [#permalink]

Show Tags

New post 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
Manager
Manager
avatar
Joined: 15 Nov 2007
Posts: 133
Re: GMAT PREP Combinatorics Q  [#permalink]

Show Tags

New post 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.

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

This is not a quality discussion. 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
User avatar
Joined: 09 Sep 2013
Posts: 7708
Premium Member
Re: A certain law firm consists of 4 senior partners and 6  [#permalink]

Show Tags

New post 15 Jul 2018, 15:33
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).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Re: A certain law firm consists of 4 senior partners and 6 &nbs [#permalink] 15 Jul 2018, 15:33
Display posts from previous: Sort by

A certain law firm consists of 4 senior partners and 6

  post reply Question banks Downloads My Bookmarks Reviews Important topics  

Moderator: chetan2u

Events & Promotions

PREV
NEXT


GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.