How Many Ways Can The Vertices Of An Equilateral Triangle Be Colored Using Three Different Colors?

How Many Ways Can The Vertices Of An Equilateral Triangle Be Colored Using Three Different Colors? So, there are k=10 distinct orbits of X under G, which means there are 10 distinct colorings of the vertices of the equilateral triangle with 3 colors. How many distinct ways can the vertices of an equilateral triangle be