AMC8 1993 Problem 9

Consider the operation * defined by the following table:

\begin{array}{l|llll} * & 1 & 2 & 3 & 4 \\ \hline 1 & 1 & 2 & 3 & 4 \\ 2 & 2 & 4 & 1 & 3 \\ 3 & 3 & 1 & 4 & 2 \\ 4 & 4 & 3 & 2 & 1 \\ \end{array}

For example, 3 * 2=1. Then (2 * 4) *(1 * 3)=

Answer Choices
A. 1
B. 2
C. 3
D. 4
E. 5