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.
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)
1 answer
1 answer