2015 Pascal Problem 20

André has an unlimited supply of \$1 coins, \$2 coins, and \$5 bills. Using only these coins and bills and not necessarily using some of each kind, in how many different ways can he form exactly \$10?

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

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.