Question

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 6 faces white- Julie painted her cube solid green. Hector painted 4 faces white and 2 faces green. How many cube could be painted in the fashion, so that each cube is different from the others? Two cubes are alike if one can be turned so that it exactly matches, color for color on each side, the other cube.

Answer 1

0W 6G = 1POSSIBILITY
1W 5G = 1POSSIBILITY
2W 4G, 2W 4G = 2 POSSIBILITIES
3W 3G, 3W 3G = 2 POSSIBILITIES
4W 2G, 4W 2G = 2 POSSIBILITIES
5W 1G = 1POSSIBILITY
6W 0G = 1POSSIBILITY
TOTAL IS 10 DIFFERENT CUBES