Step 1: Understanding the Concept:
Electronic configuration of Sc (\(Z = 21\)): \(1s^2 2s^2 2p^6 3s^2 3p^6 4s^2 3d^1\).
Step 2: Detailed Explanation:
Order of filling: 1s (2 e\(^-\)), 2s (2 e\(^-\)), 2p (6 e\(^-\)), 3s (2 e\(^-\)), 3p (6 e\(^-\)), 4s (2 e\(^-\)).
19th electron enters 4s orbital. For 4s: \(n = 4, l = 0, m = 0, s = +\frac{1}{2}\).
Step 3: Final Answer:
Thus, quantum numbers: \(n = 4, l = 0, m = 0, s = +\frac{1}{2}\).