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

It is currently 27 Apr 2015, 16:44

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

There are 11 women and 9 men in a certain club. If the club is to sele

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
1 KUDOS received
VP
VP
avatar
Joined: 22 Nov 2007
Posts: 1105
Followers: 7

Kudos [?]: 192 [1] , given: 0

There are 11 women and 9 men in a certain club. If the club [#permalink] New post 12 Jan 2008, 02:07
1
This post received
KUDOS
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

88% (02:24) correct 12% (01:07) wrong based on 34 sessions
There are 11 women and 9 men in a certain club. If the club is to select a committee of 2 women and 2 men, how many different such committees are possible?

A. 120
B. 720
C. 1,060
D. 1,520
E. 1,980
[Reveal] Spoiler: OA
Manager
Manager
User avatar
Joined: 10 Jul 2009
Posts: 129
Location: Ukraine, Kyiv
Followers: 2

Kudos [?]: 57 [0], given: 60

Re: easy comb question [#permalink] New post 07 Sep 2009, 10:24
1
This post was
BOOKMARKED
or another way.

choose 2 from 11: 11*10
choose 2 from 9: 9*8

multiply results and divide by 4, since there can be 4 different orders in 1 pair with same people.

E. 1980
_________________

Never, never, never give up

Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 27123
Followers: 4189

Kudos [?]: 40505 [0], given: 5540

Re: There are 11 women and 9 men in a certain club. If the club is to sele [#permalink] New post 18 Dec 2010, 13:01
Expert's post
ajit257 wrote:
There are 11 women and 9 men in a certain club. If the club is to select a committee of 2 women and 2 men, how many different such committees are possible?
A. 120
B. 720
C. 1,060
D. 1,520
E. 1,980


\(C^2_{11}*C^2_{9}=1,980\): \(C^2_{11}\) - # of ways to choose 2 women out of 11 and \(C^2_9\) - # of ways to choose 2 men out of 9. We multiply these two because if one event can occur in \(m\) ways and a second can occur independently of the first in \(n\) ways, then the two events can occur in \(mn\) ways (this is called Principle of Multiplication).

Answer: E.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

GMAT Club Premium Membership - big benefits and savings

Senior Manager
Senior Manager
avatar
Joined: 28 Aug 2010
Posts: 265
Followers: 3

Kudos [?]: 173 [0], given: 11

Re: There are 11 women and 9 men in a certain club. If the club is to sele [#permalink] New post 18 Dec 2010, 13:02
Bunuel,
Thanks for confirming the ans
_________________

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

SVP
SVP
avatar
Joined: 16 Nov 2010
Posts: 1687
Location: United States (IN)
Concentration: Strategy, Technology
Followers: 31

Kudos [?]: 340 [0], given: 36

Premium Member Reviews Badge
Re: easy comb question [#permalink] New post 31 Mar 2011, 00:40
11C2 * 9C2 = 11*10/2 * 9*8/2

= 11 * 10 * 9 * 2

= 990 * 2

= 1980

Answer - E
_________________

Formula of Life -> Achievement/Potential = k * Happiness (where k is a constant)

GMAT Club Premium Membership - big benefits and savings

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 4690
Followers: 291

Kudos [?]: 52 [0], given: 0

Premium Member
Re: There are 11 women and 9 men in a certain club. If the club [#permalink] New post 19 Feb 2015, 14:34
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

Expert Post
EMPOWERgmat Instructor
User avatar
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 1813
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Followers: 73

Kudos [?]: 477 [0], given: 36

Re: There are 11 women and 9 men in a certain club. If the club [#permalink] New post 19 Feb 2015, 19:26
Expert's post
Hi All,

Both barakhaiev and subhashghosh have correctly answer this question, albeit doing the "math" in slightly different ways.

This type of question is relatively rare on the GMAT, but it's more likely to show up when you're scoring at a high level in the Quant section, so the basic ideas behind it are worth memorizing. You have to figure out each individual combination, then multiply the results.

Sometimes the answer choices are "spread out" enough that you can take advantage of that pattern and avoid a little bit of work (and save a little bit of time).

Here, choosing 2 women from a group of 11 is 11c2 = 11!/(2!9!) = (11)(10)/(2)(1) = 55

Choosing 2 men from a group of 9 men is 9c2 = 9!/(2!7!) = (9)(8)/(2)(1) = 36

Now we just have to multiply these two values together: (55)(36).

Since (50)(30) = 1500, and (55)(36) is going to be MUCH LARGER than 1500, there's really only one answer that could possibly be correct.

Final Answer:
[Reveal] Spoiler:
E


Keep the answer choices in mind when you're doing your work; they often provide 'clues' as how best to proceed and potential patterns or shortcuts in how the "math" will work.

GMAT assassins aren't born, they're made,
Rich
_________________

Rich Cohen
Rich.C@empowergmat.com
http://www.empowergmat.com

EMPOWERgmat GMAT Club Page, Study Plans, & Discounts
http://gmatclub.com/blog/courses/empowergmat-discount/?fl=menu

Image

Re: There are 11 women and 9 men in a certain club. If the club   [#permalink] 19 Feb 2015, 19:26
    Similar topics Author Replies Last post
Similar
Topics:
1 Experts publish their posts in the topic There are 11 women and 9 men in a certain club. If the club is to sele Nihit 8 07 Sep 2008, 09:08
There are 11 women and 9 men in a certain club. If the club marcodonzelli 0 19 Feb 2015, 19:26
Experts publish their posts in the topic There are 11 women and 9 men in a certain club. If the club marcodonzelli 3 06 Jan 2008, 07:51
There are 11 women and 9 men in a certain club. If the club sidbidus 7 30 Aug 2007, 07:57
There are 11 women and 9 men in a certain club. If the club Stormgal 3 17 Jan 2007, 06:56
Display posts from previous: Sort by

There are 11 women and 9 men in a certain club. If the club is to sele

  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®.