2008 Pascal Problem 24

Five circles are drawn on a piece of paper and connected as shown. Each circle must be coloured red, blue or green. Two circles connected by a straight line may not be coloured the same. How many different ways are there to colour the circles?

\textbf{(A)}\ 24\quad \textbf{(B)}\ 60\quad \textbf{(C)}\ 72\quad \textbf{(D)}\ 36\quad \textbf{(E)}\ 48

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Pascal contests here.