SOLUTION: I have 6 shirts, 6 pairs of pants, and 6 hats. Each items come in the same 6 colors(So that I have item of each color). I refuse to wear an outfit in which all 3 items are the same

Algebra ->  Finance -> SOLUTION: I have 6 shirts, 6 pairs of pants, and 6 hats. Each items come in the same 6 colors(So that I have item of each color). I refuse to wear an outfit in which all 3 items are the same      Log On


   



Question 1141008: I have 6 shirts, 6 pairs of pants, and 6 hats. Each items come in the same 6 colors(So that I have item of each color). I refuse to wear an outfit in which all 3 items are the same color. How many choices for outfits do I have?
Answer by VFBundy(438) About Me  (Show Source):
You can put this solution on YOUR website!
Total ways you can wear outfits = 6*6*6 = 216

Total ways you can have all three items of clothing the same color = 6. (Think about it. There are six colors, so there are six ways the outfits can be all in one color.)

Total ways to wear outfits where they're not all the same color = 210