Answer: 20160 ways
Step-by-step explanation:
From the information given, there are 8 cases and 6 agents. Since only 1 case is assigned to each agent,
Number of cases available to first agent = 8
Number of cases available to second agent = 7
Number of cases available to third agent = 6
Number of cases available to fourth agent = 5
Number of cases available to fifth agent = 4
Number of cases available to sixth agent = 3
Thus, number of ways of assigning the 8 cases to 6 agents if only 1 case is assigned to each agent is
8 x 7 x 6 x 5 x 4 x 3 = 20160