Acertain 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

There are 8 ways.

Step-by-step explanation:

For each employee there are two possibilities: first office and second office.

Therefore,

the number of ways the company can assign 3 employees to 2 different offices will be :  

= 8

We can also look at this problem like suppose ABC are employees.

We can arrange them like -

0 ABC

ABC 0

AB C

BC A

CA B

A BC

B CA

C AB

So, there are total 8 WAYS.

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