HOw many ways to assign 3 employees in 2 offices

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r_walid: Senior | Next Rank: 100 Posts; Posts: 43; Joined: Wed Jan 21, 2009 2:24 pm; Thanked: 1 times

by r_walid » Wed Nov 04, 2009 9:45 am

a certain co. assigns its employess in such a way that some offices can be empty and also more than one employee can be assigned to an office.
how many ways can a compan assign 3 employees to 2 different offices?

Please detail your explanation

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Source: Beat The GMAT — Problem Solving | Wed Nov 04, 2009 9:45 am

mp2437: Master | Next Rank: 500 Posts; Posts: 177; Joined: Thu Aug 14, 2008 11:59 am; Thanked: 25 times

by mp2437 » Wed Nov 04, 2009 10:45 am

I get 2^3 = 8 possibilities.

Also, I did it the longer way, though it didn't take much time.

Let "|" denote the number of people in rooms A & B. You get these combinations:

123|
12|3
13|2
23|1
1|23
2|13
3|12
|123

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