a medical sales person is to visit the various members of th

a medical sales person is to visit the various members of the staff at a clinic. he must see 8 doctors, 6 physicians assistants, 12 nurses, 3 medical technologists, and 3 receptionist. how many different ways can these people be visited by the sales person if the order is not important?

Solution

There are 8+6+12+3+3 = 32 people to visit.

Thus, there are 32! = 2.63131*10^35 ways to visit them.   

[ANSWER: 32! or approx. 2.63131*10^35]