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

It is currently 04 Aug 2015, 18:25
GMAT Club Tests

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

A golf club has 12 boys and 16 girls, from whom, a committee

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Director
Director
avatar
Joined: 13 Nov 2003
Posts: 790
Location: BULGARIA
Followers: 1

Kudos [?]: 30 [0], given: 0

A golf club has 12 boys and 16 girls, from whom, a committee [#permalink] New post 23 Mar 2004, 07:00
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

A golf club has 12 boys and 16 girls, from whom, a
committee of 2 boys and 2 girls has to be formed. The probability that
the club members Peter (boy) and Mary (girl) will always be included
in the committee is:

(1)13/240
(2)17/185
(3)19/82
(4)15/121
(5)11/315
GMAT Club Legend
GMAT Club Legend
avatar
Joined: 15 Dec 2003
Posts: 4308
Followers: 30

Kudos [?]: 251 [0], given: 0

 [#permalink] New post 23 Mar 2004, 10:11
I've been pondering on this question for a while. I wonder if there's not any error in the answer choices.
# of ways to form a team when P+M are in the team: 11C1 * 15C1 = 165
# of ways to form a team of 2 boys+2 girls: 12C2*16C2 = 7920
Prob. of forming a team with both P+M: 165/7920 = 1/48
_________________

Best Regards,

Paul

Director
Director
avatar
Joined: 13 Nov 2003
Posts: 790
Location: BULGARIA
Followers: 1

Kudos [?]: 30 [0], given: 0

 [#permalink] New post 23 Mar 2004, 11:15
Hallo guys, the official answer is 11C1x15C1/28C4 or 5). I also got 1/48, may be the answer is incorrect.
GMAT Club Legend
GMAT Club Legend
avatar
Joined: 15 Dec 2003
Posts: 4308
Followers: 30

Kudos [?]: 251 [0], given: 0

 [#permalink] New post 23 Mar 2004, 11:18
It can't be 28C4 because this would mean that the team could be form of 4 people of ANY gender. We need to isolate boys and girls apart with 12C2*16C2 as denominator
_________________

Best Regards,

Paul

  [#permalink] 23 Mar 2004, 11:18
Display posts from previous: Sort by

A golf club has 12 boys and 16 girls, from whom, a committee

  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®.