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

#1**+1 **

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?

Options

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

Melody
Mar 30, 2018