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A certain company assigns employees to offices in such a way

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

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New post 26 Sep 2007, 13:53
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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?
CEO
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Re: DS - SET 23 - Q6 [#permalink]

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New post 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.
Senior Manager
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Joined: 11 Sep 2005
Posts: 324
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Kudos [?]: 196 [0], given: 0

Re: DS - SET 23 - Q6 [#permalink]

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New post 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
Director
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Re: DS - SET 23 - Q6 [#permalink]

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New post 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
CEO
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Joined: 29 Mar 2007
Posts: 2583
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Re: DS - SET 23 - Q6 [#permalink]

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New post 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.
GMAT Club Legend
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 [#permalink]

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New post 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
  [#permalink] 26 Sep 2007, 19:34
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