Determine the number of ways in which the edges of a square

Determine the number of ways in which the edges of a square can be colored with six colors with no restriction placed on the number of times a color can be used.

Solution

For the first edge there are six choices of colors, similarly, second, third and fourth, each edge will have six choices of colors. So, the total number of ways of coloring the edges of a square with no restriction =6*6*6*6=1296