Question

Explain why the quantum number set (3, 3, -2, +½) is not possible for an electron in a ground-state atom.

Answer 1

L = an integer from 0 to n-1
mL = an integer from -L to +L
ms = + or - 1/2

the format is (n, L, mL, ms)

so your
n = 3... this is OK
L = 2.. also OK.. if n=3, L can = 0, 1, or 2
mL = -3 is NOT ok... if L=2.. mL can only be -2, -1, 0, +1, or +2
ms = +1/2