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Shawn has an assortment of mismatched dishes, so the dinner table looks different from one night to the next. There are $2$ kinds of plates and $3$ kinds of glasses. How many different appearances can a place setting have? $\newline$ $\_\_\_$ appearances

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Counting principle

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Q. Shawn has an assortment of mismatched dishes, so the dinner table looks different from one night to the next. There are

2

kinds of plates and

3

kinds of glasses. How many different appearances can a place setting have?

\newline

\_\_\_

appearances

Count Plate Choices: Step $1$ : Count the number of plate choices. We have $2$ kinds of plates.
Count Glass Choices: Step $2$ : Count the number of glass choices. There are $3$ kinds of glasses.
Use Basic Counting Principle: Step $3$ : Use the Basic Counting Principle. Multiply the number of plate choices by the number of glass choices to find the total number of different place settings. Calculation: $2$ plates $\times$ $3$ glasses $=$ $6$ different appearances.

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