Color a Cube
Source: 1996 National High School Mathematics League, Exam One, Problem 11
March 4, 2020
geometry3D geometry
Problem Statement
Color the six faces of a cube in six given colors. Each face is colored in exactly one color. Two faces with a common edge is in different colors. Then the number of ways to color the cube is________.
Note: If we can make two cubes look the same by turning one of then, they are considered the same.