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counting and probability intermediate

Problem

I have 6 shirts, 4 pairs of pants, and 6 hats. The pants come in tan, black, blue, and gray. The shirts and hats come in those colors, and also white and yellow. I refuse to wear an outfit in which all 3 items are the same color. How many choices for outfits, consisting of one shirt, one hat, and one pair of pants, do I have?
Solution
The number of all outfit combinations is . There are 4 outfits in which all three items are the same color. Thus there are outfits in which not all three items are the same color.
Final answer
140