It is currently 22 Sep 2017, 10:21

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# A certain company assigns employees to offices in such a way

Author Message
Senior Manager
Joined: 11 Sep 2005
Posts: 313

Kudos [?]: 357 [0], given: 0

A certain company assigns employees to offices in such a way [#permalink]

### Show Tags

26 Sep 2007, 13:53
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 1 sessions

### HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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

I suppose this is the easiest problem one can expect on GMAT, still i got it wrong..........i picked B, please help! What concept i'm missing over here?

Kudos [?]: 357 [0], given: 0

CEO
Joined: 29 Mar 2007
Posts: 2554

Kudos [?]: 500 [0], given: 0

Re: DS - SET 23 - Q6 [#permalink]

### Show Tags

26 Sep 2007, 14:05
singh_amit19 wrote:
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

I suppose this is the easiest problem one can expect on GMAT, still i got it wrong..........i picked B, please help! What concept i'm missing over here?

I don' think this is easy at all. Ive never seen a combinatorics Q like this before.

Is the answer E? Im stuck btwn D or E, but id vouch for E. I can't really explain it, its just what I got in my notes.

we have 3!/2! * 3!/2! = 9. But i really don't know if this is correct.

Kudos [?]: 500 [0], given: 0

Senior Manager
Joined: 11 Sep 2005
Posts: 313

Kudos [?]: 357 [0], given: 0

Re: DS - SET 23 - Q6 [#permalink]

### Show Tags

26 Sep 2007, 14:08
GMATBLACKBELT wrote:
singh_amit19 wrote:
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

I suppose this is the easiest problem one can expect on GMAT, still i got it wrong..........i picked B, please help! What concept i'm missing over here?

I don' think this is easy at all. Ive never seen a combinatorics Q like this before.

Is the answer E? Im stuck btwn D or E, but id vouch for E. I can't really explain it, its just what I got in my notes.

we have 3!/2! * 3!/2! = 9. But i really don't know if this is correct.

If i keep aside all my technical knowledge of P&C, i'll land up with E though the OA is not E

Kudos [?]: 357 [0], given: 0

Director
Joined: 03 May 2007
Posts: 871

Kudos [?]: 248 [0], given: 7

Schools: University of Chicago, Wharton School
Re: DS - SET 23 - Q6 [#permalink]

### Show Tags

26 Sep 2007, 14:23
singh_amit19 wrote:
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

I suppose this is the easiest problem one can expect on GMAT, still i got it wrong..........i picked B, please help! What concept i'm missing over here?

D. 8

x: 0 - 1 - 2 - 3
y: 3 - 2 - 1 - 0

if x = 0, y = 3 => 1 way
if x = 1, y = 2 => 3 ways
if x = 2, y = 1 => 3 ways
if x = 3, y = 0 => 1 way

so total = 8 ways

Kudos [?]: 248 [0], given: 7

CEO
Joined: 29 Mar 2007
Posts: 2554

Kudos [?]: 500 [0], given: 0

Re: DS - SET 23 - Q6 [#permalink]

### Show Tags

26 Sep 2007, 14:52
Fistail wrote:
singh_amit19 wrote:
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

I suppose this is the easiest problem one can expect on GMAT, still i got it wrong..........i picked B, please help! What concept i'm missing over here?

D. 8

x: 0 - 1 - 2 - 3
y: 3 - 2 - 1 - 0

if x = 0, y = 3 => 1 way
if x = 1, y = 2 => 3 ways
if x = 2, y = 1 => 3 ways
if x = 3, y = 0 => 1 way

so total = 8 ways

Nice, i kinda had this, but I really didn't think it was right.

Kudos [?]: 500 [0], given: 0

GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5039

Kudos [?]: 424 [0], given: 0

Location: Singapore

### Show Tags

26 Sep 2007, 19:34
Case 1: empty, all 3 in one office -> 2 ways
Case 2: 1 employee, 2 employees -> 2 * 3C2 = 6 ways
Total = 8 ways

Kudos [?]: 424 [0], given: 0

26 Sep 2007, 19:34
Display posts from previous: Sort by