Calculate maximum multiplicity value for $\text{'}d\text{'}$ electron of $C{o}^{+x}$ ion if it has magnetic moment value  $\sqrt{24} B.M.$

$$\begin{gathered} \mu =\sqrt{4\left(4+2\right)}B.M. \\ U.P.M. =4 \end{gathered}$$

$C{o}^{+x}$ has $4$ unpaired electron 

when $$\begin{gathered} x=3 \\ C{o}^{+3}=\left[Ar\right]3d^6 \end{gathered}$$

Maximum multiplicity $=2\left|S\right|+1$

                                  $=2\left|2\right|+1=5$