# Felicia is deciding on her schedule for next semester. She must take each of the following classes: English 102, Spanish 102, History 102, and College

Felicia is deciding on her schedule for next semester. She must take each of the following classes: English 102, Spanish 102, History 102, and College Algebra. If there are 16 sections of English 102, 9 sections of Spanish 102, 13 sections of History 102, and 15 sections of College Algebra, how many different possible schedules are there for Felicia to choose from? Assume there are no time conflicts between the different classes.
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Step 1
Fundamental counting principle:
FCP is a rule used to count the total number of possible outcomes in a situation. It states that if there are n ways of doing something and m ways doing another thing after that, then there are nxm ways to perform both of these actions.
Step 2
Felicia must take each of the following classes: English 102, Spanish 102, History 102, and College Algebra. If there are 16 sections of English 102, 9 sections of Spanish 102, 13 sections of History 102, and 15 sections of College Algebra.
Using fundamental counting principle,
There are $16×9×13×15=28080$ ways.
Thus, there are 28,080 different possible schedules are there for Felicia to choose.