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Reggie is ordering a sandwich from a deli. There are $2$ types of meat to choose from and $3$ cheeses, and Reggie must pick one of each. How many different sandwiches can Reggie order? $\newline$ $\_\_\_\_$ sandwiches

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Counting principle

Full solution

Q. Reggie is ordering a sandwich from a deli. There are

2

types of meat to choose from and

3

cheeses, and Reggie must pick one of each. How many different sandwiches can Reggie order?

\newline

\_\_\_\_

sandwiches

Apply Counting Principle: Apply the Basic Counting Principle for independent events. We have: $\newline$ Number of meat choices = $2$ $\newline$ Number of cheese choices = $3$ $\newline$ To find the total number of different sandwiches Reggie can order, we multiply the number of choices for meat by the number of choices for cheese. $\newline$ Calculation: $2$ (meat choices) $\times$ $3$ (cheese choices) = $6$

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