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While having his kitchen remodeled, Marvin discusses the options with his contractor. There are 33 countertops and 55 sinks to choose from. How many different kitchens can Marvin design?\newline_____\_\_\_\_\_ kitchens

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Q. While having his kitchen remodeled, Marvin discusses the options with his contractor. There are 33 countertops and 55 sinks to choose from. How many different kitchens can Marvin design?\newline_____\_\_\_\_\_ kitchens
  1. Apply Basic Counting Principle: Apply the Basic Counting Principle to determine the total number of different kitchen designs. Since the choice of countertop and the choice of sink are independent events, we can multiply the number of options for each to find the total number of outcomes.\newlineNumber of countertop choices = 33\newlineNumber of sink choices = 55\newlineCalculate the total number of different kitchens Marvin can design.\newline33 (countertops) ×\times 55 (sinks) = 1515
  2. Calculate Total Designs: Verify that the multiplication was done correctly and that no options were omitted or counted twice.\newline3×5=153 \times 5 = 15\newlineThis is a simple multiplication of single-digit numbers, and the result is indeed 1515.

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