Question

A college student is preparing a course schedule for the next semester. The student may select one of two math courses, one of three science courses, and one of five courses from the humanities. How many schedules are possible?

Answer 1

The college student has a choice of:

`2` math courses `xx 3` science courses `xx 5` humanity courses:

`2 xx 3 xx 5 = 30` possible schedules"

01: M_1, S_1, H_1
02: M_2, S_1, H_1

03: M_1, S_2, H_1
04: M_2, S_2, H_1

05: M_1, S_3, H_1
06: M_2, S_3, H_1

07: M_1, S_1, H_2
08: M_2, S_1, H_2

09: M_1, S_2, H_2
10: M_2, S_2, H_2

11: M_1, S_3, H_2
12: M_2, S_3, H_2

13: M_1, S_1, H_3
14: M_2, S_1, H_3

15: M_1, S_2, H_3
16: M_2, S_2, H_3

17: M_1, S_3, H_3
18: M_2, S_3, H_3

19: M_1, S_1, H_4
20: M_2, S_1, H_4

21: M_1, S_2, H_4
22: M_2, S_2, H_4

23: M_1, S_3, H_4
24: M_2, S_3, H_4

25: M_1, S_1, H_5
26: M_2, S_1, H_5

27 M_1, S_2, H_5
28: M_2, S_2, H_5

29: M_1, S_3, H_5
30: M_2, S_3, H_5