A student of MA101 is preparing a course schedule for the next semester. The student may select one of three mathematics courses, one of three science courses, and one of five courses from social sciences. How many schedules are possible?
45
To find the total number of possible schedules, we need to multiply the number of options for each category together.
The student can choose one of three mathematics courses.
For each mathematics course, the student can choose one of three science courses.
For each combination of the chosen mathematics and science courses, the student can choose one of five courses from social sciences.
Using the multiplication principle, we multiply the number of options for each category:
3 mathematics courses * 3 science courses * 5 social science courses = 45 possible schedules.
Therefore, there are 45 possible schedules for the student in the next semester.