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Laura 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 $2$ 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. Laura 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

2

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

\newline

\_\_\_\_

appearances

Apply Principle: Apply the Basic Counting Principle. We need to determine the total number of different appearances for a place setting. Since the choice of plate and the choice of glass are independent events, we can multiply the number of choices for plates by the number of choices for glasses to find the total number of different appearances. $\newline$ Number of plate choices = $2$ $\newline$ Number of glass choices = $2$ $\newline$ Calculate the total number of different appearances. $\newline$ $2$ (plates) $\times$ $2$ (glasses) = $4$ appearances

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