Step 1: Identify the element.
Atomic number 78 corresponds to Platinum (Pt).
Step 2: Write expected configuration.
Using Aufbau principle:
\[
[Xe]\, 4f^{14}\, 5d^8\, 6s^2
\]
Step 3: Consider stability exception.
Platinum shows anomalous electronic configuration due to extra stability of partially filled \( d \)-orbitals.
One electron from \( 6s \) shifts to \( 5d \):
\[
[Xe]\, 4f^{14}\, 5d^9\, 6s^1
\]
Step 4: Conclusion.
Thus, the correct configuration is:
\[
\boxed{[Xe]4f^{14}5d^9 6s^1}
\]