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Ghella [55]
3 years ago
13

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
Mathematics
1 answer:
vladimir2022 [97]3 years ago
4 0

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 :  

2^{3} = 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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So, we have 4 cups of flour and 6 cups of sugar and we need to know how many cups of sugar per cup of flour does the recipe require. Because it is requested to know how many cups of sugar per cup of flour does the recipe require, we need to divide the amount of flour and sugar by the amount of flour, and we will know what we need to know.

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