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. How many cubes could be painted in this fashion, so that each cube is different from the others? Two cubes are alike if one can be rotated to match the other.

Question

anonymous · Answer

Break it into different cases

cathyangs · Answer

Is there a way to do it purely mathematcally?

anonymous · Answer

(G for green, and W for white)
 0G 6W: 1
 1G 5W: 1
 2G 4W: 2
 3G 3W: 2
 4G 2W: 2
 5G 1W: 1
 6G 0W: 1
 sum will be 10.
 so, answer is 10