2009 Pascal Problem 15

The increasing list of five different integers \{3,4,5,8,9\} has a sum of 29. How many increasing lists of five different single-digit positive integers have a sum of 33?

\textbf{(A)}\ 1\quad \textbf{(B)}\ 2\quad \textbf{(C)}\ 3\quad \textbf{(D)}\ 4\quad \textbf{(E)}\ 5

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.