Find all School-related info fast with the new School-Specific MBA Forum

It is currently 19 Sep 2014, 00:17

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Anthony and Michael sit on the six-member board of directors

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Director
Director
avatar
Joined: 10 Feb 2006
Posts: 664
Followers: 3

Kudos [?]: 54 [0], given: 0

GMAT Tests User
Anthony and Michael sit on the six-member board of directors [#permalink] New post 28 Sep 2006, 11:45
Anthony and Michael sit on the six-member board of directors for company X. If the board is to be split up into 2 three-person subcommittees, what percent of all the possible subcommittees that include Michael also include Anthony?


a 20%
b 30%
c 40%
d 50%
e 60%
_________________

GMAT the final frontie!!!.

Manager
Manager
avatar
Joined: 28 Aug 2006
Posts: 245
Location: Albuquerque, NM
Followers: 1

Kudos [?]: 1 [0], given: 0

GMAT Tests User
 [#permalink] New post 28 Sep 2006, 15:34
total ways to choose the committees = 6C3 = 20, since once you choose one other one is already defined

no. of ways in which A and M are together = 4 (once u choose two of them only four choices remain for the 3rd person)


percentage = 4/20 = 20%
Manager
Manager
User avatar
Joined: 25 May 2006
Posts: 227
Followers: 1

Kudos [?]: 14 [0], given: 0

GMAT Tests User
 [#permalink] New post 28 Sep 2006, 15:47
Getting 40%

Assume we have the following members
M-A-B-C-D-E

Possible combinations that with M also include A:
MAB
MAC
MAD
MAE

MBC
MBD
MBE
MCD
MCE
MDE

TOTAL of 10 Combinations. 4 out of 10 includes A.
So, 4/10=40%
_________________

Who is John Galt?

Senior Manager
Senior Manager
User avatar
Joined: 28 Aug 2006
Posts: 302
Followers: 10

Kudos [?]: 80 [0], given: 0

GMAT Tests User
 [#permalink] New post 28 Sep 2006, 21:12
It is C.

Now the possible committees that include M :

Totally we need 3 people out which M is already there. So the remaining two could be any 2 from the remaining 5 ie 5C2 =10

So totally there are 10 committees that include M.

Now coming to our favourable committees i.e. committees including M and A.
Since there are already two people out of the three needed the remaining person could be anyone from the remaining 4 people.

So there are 4 committees that include M and N.

So it is 4/10 = 40%
_________________

Averages Accelerated:Guide to solve Averages Quickly(with 10 practice problems)


Last edited by cicerone on 25 Sep 2008, 00:11, edited 1 time in total.
Senior Manager
Senior Manager
User avatar
Joined: 11 Jul 2006
Posts: 385
Location: TX
Followers: 1

Kudos [?]: 6 [0], given: 0

GMAT Tests User
 [#permalink] New post 29 Sep 2006, 12:37
Yes it should be C , here , the Key is the Question here
what percent of all the possible subcommittees that include Michael also include Anthony?
Then we have only 10 combination which include Michael in the committe.

6C3 includes the commitees which do not include Michael.
  [#permalink] 29 Sep 2006, 12:37
    Similar topics Author Replies Last post
Similar
Topics:
Anthony and Michael sit on the six-member board of directors agsfaltex 3 16 Aug 2006, 10:51
Anthony and Michael sit on the six-member board of directors minhthel 4 14 Aug 2006, 19:52
Anthony and Michael sit on the six-member board of directors ps_dahiya 7 16 Jul 2006, 00:26
Anthony and Michael sit on the six-member board of directors cool_jonny009 9 05 Feb 2006, 21:35
Anthony and Michael sit on the six-member board of directors GMATT73 11 18 Dec 2005, 01:49
Display posts from previous: Sort by

Anthony and Michael sit on the six-member board of directors

  Question banks Downloads My Bookmarks Reviews Important topics  


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

Powered by phpBB © phpBB Group and phpBB SEO

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®.