# Problem #2317

 2317 In the addition shown below $A$, $B$, $C$, and $D$ are distinct digits. How many different values are possible for $D$? $$\begin{tabular}{cccccc}&A&B&B&C&B\\ +&B&C&A&D&A\\ \hline &D&B&D&D&D\end{tabular}$$ $\textbf{(A)}\ 2\qquad\textbf{(B)}\ 4\qquad\textbf{(C)}\ 7\qquad\textbf{(D)}\ 8\qquad\textbf{(E)}\ 9$ This problem is copyrighted by the American Mathematics Competitions.
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