Suppose that you have a can of red paint, a can of blue paint, and a large supply of identical wooden cubes. If you paint each face either solid red or solid blue, how many different cubes can be made?
Solution:
All red 1
Five red and one blue 1
Four red and two blue 2
Three red and three blue 2
Two red and four blue 2
One red and five blue 1
All blue 1
10 such cubes can be made, What if you used tetrahedrons instead of cubes?
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