2006 Pascal Problem 16

An unusual die has the numbers 2, 2, 3, 3, 5, and 8 on its six faces. Two of these dice are rolled. The two numbers on the top faces are added. How many different sums are possible?

\textbf{(A)}\ 6\quad \textbf{(B)}\ 7\quad \textbf{(C)}\ 8\quad \textbf{(D)}\ 9\quad \textbf{(E)}\ 10

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