Cube colorings
Source: 2014 BAMO-8 #1
February 22, 2016
B8cubegeometry3D geometrycountingcombinatoricsArrangements
Problem Statement
The four bottom corners of a cube are colored red, green, blue, and purple. How many ways are there to color the top four corners of the cube so that every face has four different colored corners? Prove that your answer is correct.