Question

In a task assignment situation, in how many different ways can five jobs be assigned to five machines if each job must be assigned to each machine and each machine must be assigned one job?

A. 5
B. 1
C. 3,125
D. 120
E. 25

Answer 1

Answer: D. 120

Step-by-step explanation:

The first machine being assigned a job can be assigned one from 5 jobs.

Once that happens, the next machine can only be assigned from any one of 4 jobs.

The next machine, any one of 3 jobs.

The next machine, any one of 2 jobs.

The Last machine gets the last job remaining.

The different ways a job can be assigned therefore are;

= 5 * 4 * 3 * 2 * 1

= 120