Step 1: Identify the element.
Palladium (\(\mathrm{Pd}\)) has atomic number
\[
Z=46
\]
It belongs to the \(4d\)-series of transition elements.
Step 2: Write the expected electronic configuration.
According to the Aufbau principle, the expected configuration would be
\[
[\mathrm{Kr}]\,4d^8\,5s^2
\]
However, palladium is an exception to the expected filling order.
Step 3: Understand the exceptional configuration.
A completely filled \(d\)-subshell possesses extra stability due to symmetrical distribution and maximum exchange energy.
Therefore, two electrons from the \(5s\) orbital shift to the \(4d\) orbital, giving a completely filled \(4d\)-subshell.
Thus, the actual electronic configuration of palladium is
\[
[\mathrm{Kr}]\,4d^{10}\,5s^0
\]
Step 4: Determine the outer electronic configuration.
Hence, the outer electronic configuration of \(\mathrm{Pd}\) is
\[
4d^{10}\,5s^0
\]
Step 5: Final conclusion.
Therefore,
\[
\boxed{4d^{10}\,5s^0}
\]
Hence, the correct option is
\[
\boxed{(3)}
\]