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 cubes 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 is exactly matches, color for color on each side, the other cube.

I guessed 2 ...

12

I never heard this question before but I think that the answer is 4 because if I do the math there will be 4 different types of ways to be painted so that they are all different.

sorry wrote it wrong it's 10

To determine the number of cubes that can be painted in such a way that each cube is different from the others, we need to consider the different possible combinations of white and green faces.

There are only three different possibilities for each face: it can be painted either white or green. Hence, using the multiplication principle (the fundamental counting principle), we can calculate the total number of combinations by multiplying the number of possibilities for each face.

For each face, there are 2 possible colors (white or green). Since each cube has 6 faces, the total number of combinations is 2 * 2 * 2 * 2 * 2 * 2 = 64.

Therefore, there can be 64 cubes painted in the described fashion, so that each cube is different from the others.