Answer:
This assignment can be made in 1365 ways.
Step-by-step explanation:
The order in which the shifts are assigned is not important. For example, employees A, B, C, D and D,C,B,A being assigned is the same thing. So, we use the combinations formula to solve this question.
Combinations Formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
Assignment of 4 employees, from a set of 15. So
[tex]C_{15,4} = \frac{15!}{4!(15-4)!} = 1365[/tex]
