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A designer has 3 fabric colors he may use for a dress: red, green, and blue. Four different patterns are available for the dress. If each dress design requires exactly one color and one pattern, how many different dress designs are possible?

 May 8, 2019
 #1
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3 * 4 = \(\boxed{12}\)

 

This is true because

 

Red - Pattern 1 or 2 or 3 or 4                      So 4 design

 

Green - Pattern 1 or 2 or 3 or 4                   So 4 design

 

Blue - Pattern 1 or 2 or 3 or 4                      So 4 design

 

So 4 + 4 + 4 = 12

 May 8, 2019

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