1976 AHSME Problem 28

Lines L_1,L_2,\ldots ,L_{100} are distinct. All lines L_{4n}, n a positive integer, are parallel to each other. All lines L_{4n-3}, n a positive integer, pass through a given point A. The maximum number of points of intersection of pairs of lines from the complete set \{L_1,L_2,\ldots ,L_{100}\} is

\textbf{(A) }4350\qquad \textbf{(B) }4351\qquad \textbf{(C) }4900\qquad \textbf{(D) }4901\qquad \textbf{(E) }9851

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