How many different possible schedules can you develop using these options?

Question

You are trying to schedule classes for next semester and wish to enroll in Math, English, Fine Arts and History. You have found 4 Math sections, 5 English sections, 6 Fine Arts sections, and 2 History sections that do not have conflicts. How many different possible schedules can you develop using these options?

 

Answer 1

Assuming there are no conflicts between these classes, meaning that any class from one group can be scheduled with any class from another, then these classes can be treated as independent events.

The number of possible classes is then just the product of the number of classes in each group, or

4 x 5 x 6 x 2 = 240