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Omni-MATH / In the sum shown, each letter represents a different digit with T≠0 and W≠0. How many different values of U are possible? …W & X & Y & Z …W & X & Y & Z …W & U & Y & V …

Problem

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problem

In the sum shown, each letter represents a different digit with T≠0T \neq 0 and W≠0W \neq 0. How many different values of UU are possible? \begin{tabular}{rrrrr} & WW & XX & YY & ZZ \\ + & WW & XX & YY & ZZ \\ \hline & WW & UU & YY & VV \end{tabular}
Plain-text mathematical notation (without MathML)
In the sum shown, each letter represents a different digit with T≠0 and W≠0. How many different values of U are possible? 

\begin{tabular}{rrrrr} 
& W & X & Y & Z \\ 
+ & W & X & Y & Z \\ 
\hline & W & U & Y & V 
\end{tabular}
Original LaTeX notation
In the sum shown, each letter represents a different digit with $T \neq 0$ and $W \neq 0$. How many different values of $U$ are possible? 

\begin{tabular}{rrrrr} 
& $W$ & $X$ & $Y$ & $Z$ \\ 
+ & $W$ & $X$ & $Y$ & $Z$ \\ 
\hline & $W$ & $U$ & $Y$ & $V$ 
\end{tabular}

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