Question

How many ways can the 11 employees be assigned primary duties if the bookstore wants their to be 4 cashiers, 2 people shelving, 2 people filling on-line orders, and 3 people doing customer assistance?

Answer 1

Answer:

The number of ways are 69,300.

Step-by-step explanation:

Consider the provided information.

The bookstore has 11 employees.

The bookstore wants their to be 4 cashiers, 2 people shelving, 2 people filling on-line orders, and 3 people doing customer assistance.

Thus, the number of ways are:

$\text{Number of ways}=\frac{11!}{4!2!2!3!}$

$\text{Number of ways}=\frac{39916800}{24\times2\times2\times6}$

$\text{Number of ways}=\frac{39916800}{576}$

$\text{Number of ways}=69300$

Hence, the number of ways are 69,300.