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Combinations

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Mrs. Jones had some white paint and some green paint, and a bunch of wooden cubes. Her class decided to paint the cubes by making each face either solid white or green. Juan painted his cube with all six faces white. Julie painted her cube solid green. Herman painted 4 faces white and 2 faces green. How many cubes could be painted in this fashion so that each cube is different from the other? Two cubes are alike if one can be turned so that it exactly matches, color for color on each side, the other cube.

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Solution Summary

A combinations problem is solved. The solution is detailed and well presented.

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It is important to remember that "Two cubes are alike if one can be turned so that it exactly matches, color for color on each side, the other cube."

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0 green faces: only 1 ...

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