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Permutation with OFFICES

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Permutation with OFFICES

by vishubn » Sat Oct 04, 2008 12:24 am
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
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by Mani_mba » Sat Oct 04, 2008 2:19 am
IMO D.
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by stop@800 » Sat Oct 04, 2008 2:47 am
Off1 3 ppl
Off2 0 ppl
1 way

Off1 0 ppl
Off2 3 ppl
1 way

Off1 1 ppl
Off2 2 ppl
3 way

Off1 2 ppl
Off2 1 ppl
3 way

Total = 8
D
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Re: Permutation with OFFICES

by nitin86 » Sat Oct 04, 2008 9:21 am
vishubn 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
Think the solution this way...

Each employee can go to any office, so he has 2 ways to select a office. i.e either office 1 or office 2. Hence, if employeed A can go to either office, then b and c can also go to either office...

so, 2 * 2 * 2 ways.
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