In a task assignment situation, in how many different ways can five jobs be assigned to five machines?
A) 1
B) 5
C) 25
D) 120
E) 3,125

Question

Quizplus · Accepted Answer

This is a permutation problem where we want to assign five distinct jobs to five distinct machines. The first job can be assigned to any of the five machines, the second job can be assigned to any of the remaining four machines, the third job can be assigned to any of the remaining three machines, and so on. Therefore, the total number of ways the jobs can be assigned is 5 x 4 x 3 x 2 x 1 = 120.

In a Task Assignment Situation, in How Many Different Ways