Three candidates, \(\mathrm{A}, \mathrm{B}\), and \(\mathrm{C}\), are running for
mayor. Election rules stipulate that the plurality method will determine the
winner. In the event that the plurality method leads to a tie, the Borda count
method will decide the winner. The election results are summarized in the
following preference table. Under these rules, which candidate becomes the new
mayor? $$
\begin{array}{|l|c|c|c|}
\hline \text { Number of Votes } & \mathbf{1 2 , 0 0 0} & \mathbf{7 5 0 0} &
\mathbf{4 5 0 0} \\
\hline \text { First Choice } & \text { C } & \text { A } & \text { A } \\
\hline \text { Second Choice } & \text { B } & \text { B } & \text { C } \\
\hline \text { Third Choice } & \text { A } & \text { C } & \text { B } \\
\hline
\end{array}
$$