It is currently 22 Nov 2017, 23:13

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

In how many ways can seven vacancies at a company be filled

  post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Intern
Intern
avatar
Joined: 27 Aug 2005
Posts: 33

Kudos [?]: 2 [0], given: 0

In how many ways can seven vacancies at a company be filled [#permalink]

Show Tags

New post 09 Sep 2005, 12:01
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

In how many ways can seven vacancies at a company be filled if there are 20 job applicants, three of the vacancies are identical secretarial positions and the remaining four are identical sales representative positions? Assume that eight of the applicants have applied for the secretarial positions, and the remaining 12 have applied for the sales rep positions.


a. 20!/(7!13!)
b. (20!/(3!17!))·(20!/(4!16!))
c. (20!/(3!17!))·(17!/(4!13!))
d. 20·19·18·20·19·18·17
e. (12!/(3!12!))·(8!/(4!8!))
f. (8!/(3!17!))·(12!/(4!13!))
g. (8!/(3!8!))·(12!/(4!12!))
h. Not enough information is given to answer this question.

Kudos [?]: 2 [0], given: 0

Senior Manager
Senior Manager
avatar
Joined: 27 Aug 2005
Posts: 331

Kudos [?]: 199 [0], given: 0

Location: Montreal, Canada
 [#permalink]

Show Tags

New post 09 Sep 2005, 13:13
C(8,3)*C(12,8)
=(8!/(3!(5!))*(12!(8!)(4!))
=65*495 = 32,175

Kudos [?]: 199 [0], given: 0

Intern
Intern
avatar
Joined: 27 Aug 2005
Posts: 33

Kudos [?]: 2 [0], given: 0

 [#permalink]

Show Tags

New post 09 Sep 2005, 16:02
The OA is g.

I couldnt understand how they got to g but if anyone can, please explain.

Kudos [?]: 2 [0], given: 0

Senior Manager
Senior Manager
avatar
Joined: 27 Aug 2005
Posts: 331

Kudos [?]: 199 [0], given: 0

Location: Montreal, Canada
 [#permalink]

Show Tags

New post 09 Sep 2005, 18:36
coffeeloverfreak wrote:
C(8,3)*C(12,8)
=(8!/(3!(5!))*(12!(8!)(4!))
=65*495 = 32,175


Never mind, was reading too fast. That should be C(8,3)*C(12,4).

Kudos [?]: 199 [0], given: 0

  [#permalink] 09 Sep 2005, 18:36
Display posts from previous: Sort by

In how many ways can seven vacancies at a company be filled

  post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| 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®.