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FIGURE it out (2) (Posted on 2004-09-25)

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.)
How many cubes with n colors?

No Solution Yet Submitted by SilverKnight

Rating: 4.7500 (4 votes)

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Puzzle Answer

Comment 15 of 15 |

(1) n + 3*C(n,2) + 3*C(n,3) + 2*C(n,4))

(2) n + 8*C(n,2) + 30*C(n,3) + 68*C(n,4) + 75*C(n,5) + 30*C(n,6) ways of painting the cube all together.

Edited on July 21, 2023, 12:31 am

Posted by K Sengupta on 2023-07-21 00:30:24

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