Nine customer service technicians are available today for service calls.As of 9:00 AM, only six service calls are scheduled.How many different assignments of technicians to service calls are possible?
A)60,480
B)40,260
C)120,400
D)80,290
E)110,800

Question

Quizplus · Accepted Answer

This problem can be solved using the permutation formula since we are assigning different technicians to different tasks, and the order in which we assign them matters. The formula for permutations is P(n, r) = n! / (n-r)!, where n is the total number of items to choose from, r is the number of items to choose, "!" denotes factorial, which means the product of all positive integers up to that number. Here, n = 9 (technicians) and r = 6 (service calls). So, P(9, 6) = 9! / (9-6)! = 9! / 3! = (9×8×7×6×5×4) / (3×2×1) = 60,480.

Nine Customer Service Technicians Are Available Today for Service Calls