Which of the following set of quantum numbers (ordered n, ℓ, mℓ, ms) are possible for an electron in an atom?

Check all that apply.

-4, 3, 1, 1/2
2, 1, -2, 1/2
4, 2, 1, -1/2
4, 2, -1, -1/2
2, 4, 1, -1/2
5, 3, -3, 1/2
5, 3, 4, 1/2
3, 2, 0, -2

2 answers

n can be any positive integer.
l can be any integer from 0 to n-1
ml can be -l to +l in steps of 1
ms can be either +1/2 or -1/2

1 is no because n can't be negative.
2 is no because ml can be -1,0,or +1 but not 2.
3 is OK.
You go through the others.
Which of the following set of quantum numbers (ordered n, ℓ, mℓ, ms) are possible for an electron in an atom?
Check all that apply.3, 2, -3, 1/2
-3, 2, 2, -1/2
5, 2, 1, -1/2
3, 2, 2, -1/2
4, 3, 4, -1/2
3, 2, 1, -1
4, 3, -2, 1/2
3, 3, 1, -1/2