Explain why the quantum number set (3,2,-3,+1/2) is not possible for an electron in a ground state atom

The electron spin can only take place in opposite directions.

Explanation:

The angular momentum of a quantum number deals with the shape of the atomic orbital. Each orbital has a specific shape. In addition, the electrons have specific spin directions. let's say a quantum number, m is having two three shells. It means that:

number of shells, n = 3.

The level will be 3

the possible spins will be 0, 1, 2.

This takes place in the negative direction as well to give:

-2 , -1, 0, 1, 2

Thus, 3,2,-3,+1/2 cannot be a quantum number as it does not have a equal and opposite spin.