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A sporting goods store offers 3 different types of bicycles (mountain, racing, and BMX) and 3 different wheel sizes (20 in, 22 in, and 24 in). How many bicycle choices does the store offer?

A sporting goods store offers $3$ different types of bicycles (mountain, racing, and BMX) and $3$ different wheel sizes ( $20$ in, $22$ in, and $24$ in). How many bicycle choices does the store offer?

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Counting principle

Full solution

Q. A sporting goods store offers

3

different types of bicycles (mountain, racing, and BMX) and

3

different wheel sizes (

20

in,

22

in, and

24

in). How many bicycle choices does the store offer?

Identify Options: Identify the number of options for each category. $\newline$ The store offers $3$ types of bicycles and $3$ different wheel sizes.
Calculate Combinations: Calculate the total number of combinations. $\newline$ Since each type of bicycle can be paired with any of the wheel sizes, we use the multiplication principle. $\newline$ Number of bicycle choices = Number of bicycle types $\times$ Number of wheel sizes $\newline$ = $3 \times 3$ $\newline$ = $9$

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