Mock AIME 2 2006-2007 Problems/Problem 15

Revision as of 12:29, 30 October 2006 by JBL (talk | contribs)

Problem

A $\displaystyle 4\times4\times4$ cube is composed of $\displaystyle 64$ unit cubes. The faces of $\displaystyle 16$ unit cubes are colored red. An arrangement of the cubes is $\mathfrak{Intriguing}$ if there is exactly $\displaystyle 1$ red unit cube in every $\displaystyle 1\times1\times4$ rectangular box composed of $\displaystyle 4$ unit cubes. Determine the number of $\mathfrak{Intriguing}$ colorings.

CubeArt.jpg

Solution

This problem needs a solution. If you have a solution for it, please help us out by adding it.



Problem Source

Invalid username
Login to AoPS