Permutation with OFFICES

[vishubn]

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

[Mani_mba]

IMO D.

[stop@800]

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

[nitin86]

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.