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Sophie is making a quilt for a friend's new baby. She knows how to sew 33 quilt patterns and can choose from 22 color schemes. How many different quilts is it possible for Sophie to sew?\newline_____ quilts

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Full solution

Q. Sophie is making a quilt for a friend's new baby. She knows how to sew 33 quilt patterns and can choose from 22 color schemes. How many different quilts is it possible for Sophie to sew?\newline_____ quilts
  1. Apply Basic Counting Principle: Apply the Basic Counting Principle to determine the total number of different quilts Sophie can sew. We know:\newlineNumber of quilt patterns = 33\newlineNumber of color schemes = 22\newlineTo find the total number of different quilts, multiply the number of choices for quilt patterns by the number of choices for color schemes.\newlineCalculation: 3×23 \times 2
  2. Perform Multiplication: Perform the multiplication from Step 11 to get the total number of different quilts.\newlineCalculation: 3×2=63 \times 2 = 6

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