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Jake 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 $10$ kinds of glasses. How many different appearances can a place setting have? $\newline$ $\_\_\_\_$ appearances

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Find the number of outcomes: word problems

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Q. Jake 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

10

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

\newline

\_\_\_\_

appearances

Identify Options: Identify the total number of options for each item. $\newline$ There are $2$ kinds of plates and $10$ kinds of glasses.
Use Principle: Use the fundamental counting principle. $\newline$ To find the total number of different appearances, multiply the number of options for plates by the number of options for glasses. $\newline$ $2$ (plates) $\times 10$ (glasses) = $20$ different appearances.
Verify Calculation: Verify the calculation. $\newline$ $2$ kinds of plates and $10$ kinds of glasses should result in $2 \times 10 = 20$ combinations, as each plate can be paired with each glass.

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