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Sanjay is planning the menu for a dinner party. There are $3$ appetizers and $4$ main dishes to choose from. How many different meals can Sanjay serve? $\newline$ $\_\_\_\_$ meals

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Counting principle

Full solution

Q. Sanjay is planning the menu for a dinner party. There are

3

appetizers and

4

main dishes to choose from. How many different meals can Sanjay serve?

\newline

\_\_\_\_

meals

Identify Options: Identify the number of options for appetizers and main dishes. $\newline$ Sanjay has $3$ appetizer options and $4$ main dish options.
Use Counting Principle: Use the fundamental counting principle to determine the total number of different meal combinations. $\newline$ For each appetizer, there are $4$ possible main dishes that can be paired with it. So, we multiply the number of appetizers by the number of main dishes to find the total number of meal combinations. $\newline$ $3$ appetizers $\times$ $4$ main dishes = $12$ different meals

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