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

m (editing link to previous problem)
Line 7: Line 7:
 
{{solution}}
 
{{solution}}
  
----
+
==See Also==
 
+
{{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 ==

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

This problem needs a solution. If you have a solution for it, please help us out by adding it.

See Also

Mock AIME 2 2006-2007 (Problems, Source)
Preceded by
Problem 14
Followed by
Last Question
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15


Problem Source