Each of the nine dots in this figure is to be colored red, white or blue. No two dots connected by a segment (with no other dots between) may be the same color. How many ways are there to color the dots of this figure?
There are 3*2*1 = 6 ways to colors the dots in each triangle, and all triangles must be colored differently, so the number of ways to color the dots is 6*5*4 = 120.
