Mock AIME 2 2006-2007 Problems/Problem 15

Revision as of 00:12, 25 July 2006 by 4everwise (talk | contribs)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)


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 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 Intriguing colorings.

Problem Source

4everwise did not write this problem. The souce cannot be revealed at this moment, as the contest is still running.

Invalid username
Login to AoPS