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Katy's little sister wants help getting her bicycle ready for a parade. She can choose among 44 colors of handlebar streamers and 33 different bicycle bells. How many different ways can Katy's little sister decorate her bicycle?\newline_______\_\_\_\_\_\_\_ ways

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Q. Katy's little sister wants help getting her bicycle ready for a parade. She can choose among 44 colors of handlebar streamers and 33 different bicycle bells. How many different ways can Katy's little sister decorate her bicycle?\newline_______\_\_\_\_\_\_\_ ways
  1. Determine Choices Separately: To determine the total number of different ways Katy's little sister can decorate her bicycle, we need to consider the choices for handlebar streamers and bicycle bells separately. Since she can choose from 44 colors of handlebar streamers and 33 different bicycle bells, we can use the fundamental counting principle. This principle states that if there are mm ways to do one thing, and nn ways to do another, then there are m×nm \times n ways to do both.
  2. Calculate Total Combinations: Calculate the total number of combinations by multiplying the number of choices for handlebar streamers by the number of choices for bicycle bells.\newline44 (colors of handlebar streamers) * 33 (different bicycle bells) = 1212 different ways.
  3. Check Calculation: Check the calculation for any mathematical errors. The multiplication is straightforward, and 44 times 33 does indeed equal 1212.

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