2010 AMC 12A Problem 23

The number obtained from the last two nonzero digits of 90! is equal to n. What is n?

\textbf{(A)}\ 12 \qquad \textbf{(B)}\ 32 \qquad \textbf{(C)}\ 48 \qquad \textbf{(D)}\ 52 \qquad \textbf{(E)}\ 68

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.