Art of Problem Solving

Mock AIME 2 2006-2007 Problems/Problem 15: Difference between revisions

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*[[Mock AIME 2 2006-2007/Problem 14 | Previous Problem]]
*[[Mock AIME 2 2006-2007 Problems/Problem 14 | Previous Problem]]


*[[Mock AIME 2 2006-2007]]
*[[Mock AIME 2 2006-2007]]

Revision as of 14:32, 3 April 2012

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.

Solution

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