POW #3: Coloring a Cube

Suppose each of the six identical faces of a cube is to be painted one of three different colors (red, white, and blue). How many distinct cubes can be created?

(Hint: There is a poster on the first floor of Burruss Hall that shows an easier case of this problem, where only two colors are used. It might help to do this simpler problem as a warm-up.

Return solutions ON PAPER to Laura Taalman, Burruss 127, by 9/26/05.
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