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

It is currently 22 Oct 2014, 22:39

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 certain company assigns employees to offices in such a way

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Senior Manager
Senior Manager
avatar
Joined: 07 Nov 2004
Posts: 459
Followers: 2

Kudos [?]: 8 [0], given: 0

A certain company assigns employees to offices in such a way [#permalink] New post 04 Feb 2005, 22:14
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

100% (00:00) correct 0% (00:00) wrong based on 1 sessions
A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 3 employees to 2 different offices?



A. 5

B. 6

C. 7

D. 8

E. 9
Senior Manager
Senior Manager
avatar
Joined: 07 Nov 2004
Posts: 459
Followers: 2

Kudos [?]: 8 [0], given: 0

 [#permalink] New post 04 Feb 2005, 23:36
HongHu wrote:
2*2*2=8?


yaa man

:-D you on red bull 24/7? :-D
VP
VP
avatar
Joined: 18 Nov 2004
Posts: 1447
Followers: 2

Kudos [?]: 16 [0], given: 0

 [#permalink] New post 05 Feb 2005, 08:55
hmmm....why not 3*3 = 9 ?? Each office can contain all 3 employees ??
Manager
Manager
avatar
Joined: 01 Feb 2005
Posts: 63
Location: NYC
Followers: 1

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

 [#permalink] New post 05 Feb 2005, 10:14
Look at it this way:
First employee can be assigned to either 1st or 2nd office (thus we have 2 options here)
Second employee can be assigned to either 1st or 2nd office (thus 2 more options)
Third employee can be assigned to either 1st or 2nd office (2 more options)
Thus, we have 2*2*2=8
VP
VP
avatar
Joined: 18 Nov 2004
Posts: 1447
Followers: 2

Kudos [?]: 16 [0], given: 0

 [#permalink] New post 05 Feb 2005, 13:06
Marina wrote:
Look at it this way:
First employee can be assigned to either 1st or 2nd office (thus we have 2 options here)
Second employee can be assigned to either 1st or 2nd office (thus 2 more options)
Third employee can be assigned to either 1st or 2nd office (2 more options)
Thus, we have 2*2*2=8


Yep I see that...but what if the ques said , how many ways 2 offices can be assigned to 3 different employees ?? I think it will be 3*3 in that case, won't it ?
SVP
SVP
User avatar
Joined: 03 Jan 2005
Posts: 2251
Followers: 12

Kudos [?]: 203 [0], given: 0

 [#permalink] New post 05 Feb 2005, 21:20
3*3 would mean that the first office gets to be assigned to one of the three people, then the second office gets to be assigned to one of the three people again. In other words, each office can have only one person (meaning one person is without an office), and it is possible that both office is assigned to one person (meaning two people are without an office). :-D

If it is two reports that are to be assigned to three people to type, and it is possible for a person to type two reports, than the answer would be 3*3.
Manager
Manager
avatar
Joined: 29 Jul 2004
Posts: 63
Followers: 1

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

 [#permalink] New post 05 Feb 2005, 22:17
I'm also getting 8 as the answer. Here is my reasoning:

There are 2 offices and 3 people, and each person needs to be assigned to an office. There are 4 ways this could happen: (3,0), (2,1), (1,2), (0,3). In other words, you could have all 3 assigned to the 1st office, 2 assigned to the 1st office and 1 assigned to the 2nd office, etc. Each of the cases where all 3 are in the same office can only be done in 1 way. Each of the cases with 2 in 1 office and 1 in the other can be done in (3c2) or 3 ways. So you have 1+3+3+1=8 total ways.

I know its a lot more complicated than the other way, but it is what I thought of when I saw the problem and I solved it pretty quickly.
Senior Manager
Senior Manager
avatar
Joined: 07 Nov 2004
Posts: 459
Followers: 2

Kudos [?]: 8 [0], given: 0

 [#permalink] New post 06 Feb 2005, 00:17
GOOD JOBS GUYS

TO ME, I THINK 2*2*2 is the most easy way to solve it
Manager
Manager
avatar
Joined: 01 Jan 2005
Posts: 168
Location: NJ
Followers: 1

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

 [#permalink] New post 07 Feb 2005, 10:30
I agree with Banerjeee

Each office can have all 3 employees.

but the question says some of the offices can have 0 employees... thus the answer will be 3*3 - 1 = 8

DLMD can u post the OE.
Director
Director
User avatar
Joined: 31 Aug 2004
Posts: 609
Followers: 3

Kudos [?]: 25 [0], given: 0

 [#permalink] New post 07 Feb 2005, 12:54
OK this was rather easy as number of employees and offices were small numbers.
If you have E employees and O offices where does it lead ??
Manager
Manager
avatar
Joined: 24 Jan 2005
Posts: 217
Location: Boston
Followers: 1

Kudos [?]: 4 [0], given: 0

2^3=8 [#permalink] New post 07 Feb 2005, 14:37
The Correct answer is 2^3 = 8.

The no. of ways = no of ways each employee can be assigned a office

1st employee can be assigned in 2 ways (Office 1 or 2)
2nd employee can be assigned in 2 ways (Office 1 or 2)
3rd employee can be assigned in 2 ways (Office 1 or 2)

Multiply , you get 8.

There is a formula for distributing n things among r partitions (where each partition can be empty) = r^n.

For our problem n = 3 and r = 2.
2^3=8   [#permalink] 07 Feb 2005, 14:37
    Similar topics Author Replies Last post
Similar
Topics:
1 Experts publish their posts in the topic A certain company assigns employees to offices in such a way gorden 9 11 Nov 2008, 18:39
A certain company assigns employees to offices in such a way puma 6 17 May 2008, 01:51
A certain company assigns employees to offices in such a way marcodonzelli 2 20 Jan 2008, 04:38
A certain company assigns employees to offices in such a way racha24 1 25 Aug 2007, 21:37
A certain company assigns employees to offices in such a way M8 8 29 Apr 2006, 20:47
Display posts from previous: Sort by

A certain company assigns employees to offices in such a way

  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®.