2019 Cayley Problem 14

The letters A, B, C, D, and E are to be placed in the grid so that each of these letters appears exactly once in each row and exactly once in each column. Which letter will go in the square marked with *?

\begin{array}{|c|c|c|c|c|} \hline A & & & & E \\ \hline & & C & A & \\ \hline E & & B & C & \\ \hline & * & & & \\ \hline B & & & D & \\ \hline \end{array}

\textbf{(A)} A \textbf{(B)} B \textbf{(C)} C \textbf{(D)} D \textbf{(E)} E

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Cayley contests here.