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Sophie is making a quilt for a friend's new baby. She knows how to sew $3$ quilt patterns and can choose from $2$ color schemes. How many different quilts is it possible for Sophie to sew? $\newline$ _____ quilts

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Counting principle

Full solution

Q. Sophie is making a quilt for a friend's new baby. She knows how to sew

3

quilt patterns and can choose from

2

color schemes. How many different quilts is it possible for Sophie to sew?

\newline

_____ quilts

Apply Basic Counting Principle: Apply the Basic Counting Principle to determine the total number of different quilts Sophie can sew. We know: $\newline$ Number of quilt patterns = $3$ $\newline$ Number of color schemes = $2$ $\newline$ To find the total number of different quilts, multiply the number of choices for quilt patterns by the number of choices for color schemes. $\newline$ Calculation: $3 \times 2$
Perform Multiplication: Perform the multiplication from Step $1$ to get the total number of different quilts. $\newline$ Calculation: $3 \times 2 = 6$

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