2005 Fermat Problem 18

A test has ten questions. Points are awarded as follows:

- Each correct answer is worth 3 points. - Each unanswered question is worth 1 point. - Each incorrect answer is worth 0 points.

A total score that is *not* possible is

\textbf{(A)}\ 11\quad \textbf{(B)}\ 13\quad \textbf{(C)}\ 17\quad \textbf{(D)}\ 23\quad \textbf{(E)}\ 29

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 Fermat contests here.