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Colleen is designing a bathroom. There are $6$ different bathtubs and $2$ different sinks to choose from. How many different bathrooms can Colleen design? $\newline$ $\_\_\_\_$ bathrooms

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Counting principle

Full solution

Q. Colleen is designing a bathroom. There are

6

different bathtubs and

2

different sinks to choose from. How many different bathrooms can Colleen design?

\newline

\_\_\_\_

bathrooms

Identify Problem: Identify the problem. $\newline$ Colleen can choose $1$ bathtub out of $6$ and $1$ sink out of $2$ for her bathroom design. To find the total number of different bathroom designs possible, we need to multiply the number of choices for bathtubs by the number of choices for sinks.
Calculate Designs: Calculate the number of different bathroom designs. $\newline$ The number of different bathroom designs is the product of the number of bathtub choices and the number of sink choices. $\newline$ $6$ (bathtub choices) $\times$ $2$ (sink choices) = $12$ different bathroom designs.

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