The permissible values for quantum numbers are governed by specific rules:

1. Principal Quantum Number ($n$): Must be a positive integer ($1, 2, 3, ...$).
2. Azimuthal Quantum Number ($l$): Must be an integer from $0$ to $(n-1)$.
3. Magnetic Quantum Number ($m_l$): Must be an integer ranging from $-l$ to $+l$ (including zero).
4. Spin Quantum Number ($s$): Must be $+1/2$ or $-1/2$.

Analysis of Option C: Given $n = 3$ and $l = 2$. The permissible values for $m$ are $-2, -1, 0, +1, +2$. The value $m = -3$ is not permissible because its magnitude exceeds $l$.