Question

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?

Answer 1

Explanation:

Given that 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.

The company can assign I employee to any one of 2 office i.e. in 2 ways

Similarly can assign II employee also in 2 ways and III in two ways.

Total no of ways = 2x2x2 = 8

There are 8 ways the company can assign 3 employees to 2 different offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office