1950 AHSME Problem 45

The number of diagonals that can be drawn in a polygon of 100 sides is:

\textbf{(A)}\ 4850\qquad\textbf{(B)}\ 4950\qquad\textbf{(C)}\ 9900\qquad\textbf{(D)}\ 98\qquad\textbf{(E)}\ 8800

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