A student must select a class schedule (a list of classes in the order they are to be taken) from a menu?

Question

consisting of 3 different economics classes, 4 different mathematics classes, and 2 different history classes. If the student must select exactly one class from each subject area, how many different schedules are possible? (assume that there are no time conflicts)

Answer 1

the answer is 3 x 4 x 2 = 24

The person can pick 3 diff economics class but from there she can choose 4 diff math classes, so for each math class there are 4 other varables she can choose from. So there are 3 x 4 =
12 chocies she can do with the first 2 sets of choices. With the extra history ones the answer is double because there are now twice has many outcomes.

Answer 2

Use combinations

(3!/1!2!)(4!/1!3!)(2!/1!1!) = 3*4*2 = 24 ways using the counting principle.

Answer 3

3*4*2=24
24 choices