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Seth is going in for a checkup at a large medical clinic. Seth will meet with one of the $5$ physician assistants and be examined by one of the $4$ doctors. How many different ways might Seth have a checkup? $\newline$ _____ ways

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Counting principle

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Q. Seth is going in for a checkup at a large medical clinic. Seth will meet with one of the

5

physician assistants and be examined by one of the

4

doctors. How many different ways might Seth have a checkup?

\newline

_____ ways

Identify Options: Identify the number of options for each part of the checkup. $\newline$ Seth can meet with one of the $5$ physician assistants. $\newline$ Seth can be examined by one of the $4$ doctors.
Use Counting Principle: Use the fundamental counting principle. $\newline$ To find the total number of different ways Seth can have a checkup, multiply the number of options for meeting a physician assistant by the number of options for being examined by a doctor. $\newline$ Total ways $= \text{Number of physician assistants} \times \text{Number of doctors}$ $\newline$ Total ways $= 5 \times 4$
Perform Multiplication: Perform the multiplication to find the total number of different ways. $\newline$ Total ways = $5 \times 4 = 20$

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