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A certain company assigns employees to offices in such a way

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VP
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Joined: 22 Nov 2007
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A certain company assigns employees to offices in such a way [#permalink] New post 20 Jan 2008, 04:38
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
Manager
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Joined: 02 Jan 2008
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Re: distribution [#permalink] New post 20 Jan 2008, 08:27
D

2 offices ~ 2 ways
--
3 persons in one office, 0 in other: 3C3 = 1, 2 offices : 2*1=2 ways
2 persons in one office, 1 in other: 3C2 = 3, 2 offices: 3*2 = 6 ways

discard 3C1 (2nd) and 3C0 (1st) (they are already counted above)

6+2=8
Manager
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Re: distribution [#permalink] New post 20 Jan 2008, 08:30
i think it is D.

ABC 0
0 ABC
AB C
AC B
BC A
C AB
B AC
A BC
Re: distribution   [#permalink] 20 Jan 2008, 08:30
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A certain company assigns employees to offices in such a way

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