The following incorrect sets of quantum numbers in the order $n, \ell, m_{\ell}, m_{s}$ are written for paired electrons or for one electron in an orbital. Correct them, assuming the $n$ values are correct. (a) $1,0,0,+\frac{1}{2},+\frac{1}{2} ;$ (b) $2,2,1, \frac{1}{2} ;$ (c) $3,2,3, \pm \frac{1}{2}$;
(d) $3,1,2,+\frac{1}{2} ;$ (e) $2,1,-1,0 ;$ (f) $3,-0,-1,-\frac{1}{2}$.