AHSME 1952 Problem 31

Given $12$ points in a plane no three of which are collinear, the number of lines they determine is: $\textbf{(A)}\ 24 \textbf{(B)}\ 54 \textbf{(C)}\ 120 \textbf{(D)}\ 66 \textbf{(E)}\ \text{none of these}$