1956 AHSME Problem 5

A nickel is placed on a table. The number of nickels which can be placed around it, each tangent to it and to two others is:

\textbf{(A)}\ 4 \qquad\textbf{(B)}\ 5 \qquad\textbf{(C)}\ 6 \qquad\textbf{(D)}\ 8 \qquad\textbf{(E)}\ 12

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