Question 153
Pedrinho is playing at making arrangements with toothpicks. He arranges his toothpicks forming equilateral triangles, as shown in the figure below: 
Pedrinho wants to paint each toothpick of his arrangement in such a way that each triangle has its sides painted exactly two different colors. For this, he has red, blue and black paints. In how many ways can he paint the arrangement?
Pedrinho wants to paint each toothpick of his arrangement in such a way that each triangle has its sides painted exactly two different colors. For this, he has red, blue and black paints. In how many ways can he paint the arrangement?