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

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==See Also==
 
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{{Mock AIME box|year=2006-2007|n=2|num-b=14|after=Last Question}}
*[[Mock AIME 2 2006-2007 Problems/Problem 14 | Previous Problem]]
 
 
 
*[[Mock AIME 2 2006-2007]]
 
  
  
 
== Problem Source ==
 
== Problem Source ==

Latest revision as of 10:54, 4 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.

CubeArt.jpg

Solution

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See Also

Mock AIME 2 2006-2007 (Problems, Source)
Preceded by
Problem 14
Followed by
Last Question
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Problem Source

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