Give an example problem where you would use the Counting Principle. Solve your example problem showing all your steps. (Hint: you could use an example from class or a previous quick check - DO NOT use one you find via google.)(3 points)
Example problem: A student is planning their schedule for next semester. They have the option to take up to 5 classes from a list of 10 different courses. How many different schedules can the student create?
Solution:
Using the Counting Principle, we can find the total number of different schedules by multiplying the number of choices for each class.
Number of choices for the first class = 10
Number of choices for the second class = 9
Number of choices for the third class = 8
Number of choices for the fourth class = 7
Number of choices for the fifth class = 6
Total number of different schedules = 10 x 9 x 8 x 7 x 6
= 30,240
Therefore, the student can create 30,240 different schedules for next semester.