detailed solution

Correct option is C

The  set of quantum numbers $\left(n,l,m_l,m_s\right)$ is not permitted by the rules of quantum mechanics is $3,3,1,-\frac{1}{2}$.

Zero is not a possibility for the main quantum number (n). Thus, the valid range for n is 1, 2, 3, 4, Any integer from 0 to n - 1 can be used as the angular quantum number (l). For instance, l might be 0, 1, or 2.

The value of the n is 2l+1

n = 2*3+1

n=7

The value of n must be 7 for the possible set of quantum numbers

Hence $3,3,1,-\frac{1}{2}$ is not the permitted set of quantum number.