Question

Marcy is going in for a checkup at a large medical clinic. Marcy will meet with one of the 9 physician assistants and be examined by one of the 3 doctors. The clinic has 2 receptionists who can help Marcy check in for the appointment. How many different ways might Marcy have a checkup?

ways

Answer 1

There are a few different ways to approach this problem, but one possible method is to use the multiplication rule of counting. This rule states that if there are m ways to perform one task and n ways to perform another task, then there are m x n ways to perform both tasks in sequence. We can apply this rule to each step of Marcy's checkup:

1. Choosing a physician assistant: There are 9 options.
2. Choosing a doctor: There are 3 options.
3. Checking in with a receptionist: There are 2 options.

To find the total number of ways to complete all three steps, we multiply the number of options for each step together:

9 x 3 x 2 = 54

Therefore, Marcy has 54 different ways to have a checkup at this clinic.