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A sporting goods store offers 33 different types of bicycles (mountain, racing, and BMX) and 33 different wheel sizes (2929 in, 2222 in, and 2424 in). How many bicycle choices does the store offer?

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Full solution

Q. A sporting goods store offers 33 different types of bicycles (mountain, racing, and BMX) and 33 different wheel sizes (2929 in, 2222 in, and 2424 in). How many bicycle choices does the store offer?
  1. Identify Options: Identify the number of options for each category.\newlineThe store offers 33 types of bicycles and 33 different wheel sizes.
  2. Calculate Combinations: Calculate the total number of combinations.\newlineSince each bicycle type can be paired with any of the wheel sizes, we use the multiplication principle to find the total number of combinations.\newlineNumber of bicycle choices = Number of bicycle types ×\times Number of wheel sizes\newline=3×3= 3 \times 3\newline=9= 9

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