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Kiara is decorating her bedroom. There are $3$ shades of paint and $5$ styles of furniture to choose from. How many different ways can Kiara customize her dorm room? $\newline$ $\_\_\_\_$ ways

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Find the number of outcomes: word problems

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Q. Kiara is decorating her bedroom. There are

3

shades of paint and

5

styles of furniture to choose from. How many different ways can Kiara customize her dorm room?

\newline

\_\_\_\_

ways

Identify Options: Identify the number of options for each choice Kiara has to make. $\newline$ Kiara has $3$ options for shades of paint and $5$ options for styles of furniture.
Use Counting Principle: Use the fundamental counting principle to determine the total number of different combinations. $\newline$ The fundamental counting principle states that if there are $a$ ways to do something and $b$ ways to do another thing, then there are $a \times b$ ways to do both. $\newline$ In this case, Kiara has $3$ ways to choose the paint and $5$ ways to choose the furniture. $\newline$ So, the total number of different ways Kiara can customize her bedroom is $3 \times 5$ .
Perform Calculation: Perform the calculation to find the total number of combinations. $3$ (shades of paint) $*$ $5$ (styles of furniture) $=$ $15$ different ways.

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