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Platinum (Pt) has atomic number 78, so its electron configuration can be built from the xenon core (Xe, atomic number 54), leaving $$78 - 54 = 24$$ electrons to be placed beyond Xe.
Those electrons fill the subshells in the order 6s, 4f, 5d, giving an expected configuration:
$$ [Xe] 4f^{14} 5d^{8} 6s^{2} $$(total: $$14 + 8 + 2 = 24$$ electrons)
However, platinum exhibits an exception in which one electron shifts from 6s to 5d to achieve greater stability:
$$ [Xe] 4f^{14} 5d^{9} 6s^{1} $$(total: $$14 + 9 + 1 = 24$$ electrons)
Because the resulting near-complete d-subshell is more stable, the actual ground-state configuration of platinum is $$[Xe]4f^{14}5d^{9}6s^{1}$$.
Hence, the correct answer is Option D ($$[Xe]4f^{14}5d^{9}6s^{1}$$).
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