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

It is currently 10 Jul 2014, 03:58

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

7 boys and 9 girls are in a club. In how many ways can they

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Senior Manager
Senior Manager
User avatar
Joined: 25 Dec 2003
Posts: 360
Location: India
Followers: 1

Kudos [?]: 12 [0], given: 0

GMAT Tests User
7 boys and 9 girls are in a club. In how many ways can they [#permalink] New post 03 Jun 2004, 01:09
7 boys and 9 girls are in a club. In how many ways can they elect 4 different officers designated by A. B, C, D if

a. A and B must be boys and C and D must be girls?

b. two of the officers must be boys and two of the officers must be girls?

Answers are : a.) 3024, and for b)18144

Please explain.

Thanks
_________________

Giving another SHOT

Manager
Manager
avatar
Joined: 24 Jan 2004
Posts: 87
Location: Valsad
Followers: 1

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

 [#permalink] New post 03 Jun 2004, 02:10
7 boys and 9 girls are in a club. In how many ways can they elect 4 different officers designated by A. B, C, D if

a. A and B must be boys and C and D must be girls?

2 boys from 7 can be selected in 7C2 ways and these can be arraanged among themselves in 7C2 X 2 Ways since the question is specific that A & B should be boys. Similarly, 2 girls from 9 can be selected and arranged in 9C2 X 2. So, the total number of ways they can be elected is 7C2 X 2 X 9C2 X 2 = 3024

b. two of the officers must be boys and two of the officers must be girls?
Since the question is not specific about the designations, as usual we select the boys and gorls in 7C2 X 9C2 and these 4 can be arranged in 4! ways. So, the total number of ways they can be elected is 7C2 X 9C2 X 4! = 18040 Ways.
_________________

Mayur

Senior Manager
Senior Manager
User avatar
Joined: 25 Dec 2003
Posts: 360
Location: India
Followers: 1

Kudos [?]: 12 [0], given: 0

GMAT Tests User
 [#permalink] New post 03 Jun 2004, 18:52
Thanks for the help Mayur. I understood the procedure. Clear explaination.

Regards
_________________

Giving another SHOT

  [#permalink] 03 Jun 2004, 18:52
    Similar topics Author Replies Last post
Similar
Topics:
Experts publish their posts in the topic In how many ways can 5 boys and 3 girls be seated on 8 voodoochild 4 24 Sep 2012, 12:02
1 Experts publish their posts in the topic The music class consists of 4 girls and 7 boys. How many way bmwhype2 6 16 Oct 2007, 10:50
In how many ways 5 boys and 6 girls can be seated on 12 ps_dahiya 5 22 Jan 2006, 00:44
A class consists of 12 girls and 10 boys. In how many ways Dan 2 06 Jun 2005, 01:22
How many ways 3 girls and 4 boys can be seated so that girls emilem 5 16 May 2005, 11:18
Display posts from previous: Sort by

7 boys and 9 girls are in a club. In how many ways can they

  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®.