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You have $5$ red shirts, $5$ green shirts, $6$ pairs of pants, $8$ green hats and $8$ red hats, all of which are distinct. How many outfits can you make consisting of one shirt, one pair of pants, and one hat without having the same color of shirts and hats?

Lightning  Mar 30, 2018
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You have $5$ red shirts, $5$ green shirts, $6$ pairs of pants, $8$ green hats and $8$ red hats, all of which are distinct. How many outfits can you make consisting of one shirt, one pair of pants, and one hat without having the same color of shirts and hats?

 

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Red shirt, pants, green hat = 5*6*8 = 240 possibilities

or

Green shirt, pants, red hat = 5*6*8= 240 possibilities

 

Total = 240+240 = 480 possible combinations   laugh

Melody  Mar 30, 2018

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