A process layout problem consists of 3 departments, each of which can be assigned to one of three rooms. The number of different solutions to this problem is ________, although all of them may not have different material handling costs.
A) 6
B) 3
C) 16
D) 9
E) unknown

Question

Quizplus · Accepted Answer

6In a process layout problem with 3 departments and 3 rooms, each department can be assigned to a different room in a unique way. This is a permutation problem where we are arranging 3 unique items (departments) into 3 unique positions (rooms), which is calculated as 3! (3 factorial), equaling 3*2*1 = 6 different solutions.

A Process Layout Problem Consists of 3 Departments, Each of Which