| (4) $4$ | (3) $3$ | (2) $2$ | (1) $1$ |
\textbf{132.} Point $A$ is outside the plane of triangle $BCD$. Determine the number of planes passing through $A$ such that points $D$, $C$, and $B$ are each at equal distance from it. How many such planes are there?
\begin{tabular}{llll}
(4) $4$ & (3) $3$ & (2) $2$ & (1) $1$
\end{tabular}