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

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[[Image:CubeArt.jpg]]
 
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==Solution==
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{{solution}}
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*[[Mock AIME 2 2006-2007/Problem 14 | Previous Problem]]
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*[[Mock AIME 2 2006-2007]]
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== Problem Source ==
 
== Problem Source ==

Revision as of 19:50, 22 August 2006

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

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Problem Source

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