Mock AIME 2 2006-2007 Problems/Problem 15

Revision as of 15:32, 3 April 2012 by 1=2 (talk | contribs) (editing link to previous problem)

Problem

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