A college math department consisting of 10 faculty members must choose a department head, an assistant department head, and a faculty senate representative. In how many ways can this be done?

Solution 6E

Step1 of 2:

We have A college math department in that total number of faculty members are 10.

These members must choose as

Department head,

An Assistant Dept. Head,

A faculty senate representative.

We need to find how many ways can this be done?

Step2 of 2:

Total number of faculty members = 10.

In this faculty if we choose 1 member as a Department head then the remaining members are

10 - 1= 9.

In 9 members faculty if we choose 1 member as...