A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee ca
n 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
1 answer:
Answer:
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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