1. How many different tetrahedrons can be produced by coloring each face a solid color and using n different colors? (Two tetrahedrons are the same if they can be turned and placed side by side so that corresponding sides match in color.)

2. How many cubes with n colors?

When I commented that "this adds two cases" it refers to the two preceding paragraphs, not just the one preceding paragraph, the first of which did say "However, there are two choices for which of the pairs is adjacent and which is opposite."

Posted by Charlie on 2004-09-25 17:39:03