The possible number of structural and stereo isomers for the complex $\left[\mathrm{M}\mathrm{B}{\mathrm{r}}_2\mathrm{C}{\mathrm{l}}_2\right]\mathrm{}\mathrm{S}{\mathrm{O}}_4$ is

The compound also shows ionization isomerism. The ionization isomers are
(i) $\left[\mathrm{M}\mathrm{B}{\mathrm{r}}_2\left(\mathrm{S}{\mathrm{O}}_4\right)\right]\mathrm{C}{\mathrm{l}}_2$
(ii) $\left[\mathrm{M}\mathrm{C}{\mathrm{l}}_2\left(\mathrm{S}{\mathrm{O}}_4\right)\right]\mathrm{B}{\mathrm{r}}_2$
(iii) $\left[\mathrm{M}\mathrm{B}\mathrm{r}\mathrm{C}\mathrm{l}\left(\mathrm{S}{\mathrm{O}}_4\right)\right]\mathrm{B}\mathrm{r}\mathrm{C}\mathrm{l}$
The complex ion $[\mathrm{M}\mathrm{B}{\mathrm{r}}_2\mathrm{C}{\mathrm{l}}_2{]}^{2+}$ shows geometrical isomerism.
The geometrical isomers are
(i) cis- $\left[\mathrm{M}\mathrm{B}{\mathrm{r}}_2\mathrm{C}{\mathrm{l}}_2\right]\mathrm{S}{\mathrm{O}}_4$
(ii) trans- $\left[\mathrm{M}\mathrm{B}{\mathrm{r}}_2\mathrm{C}{\mathrm{l}}_2\right]\mathrm{S}{\mathrm{O}}_4$
Thus, a total of five (3 structural and 2 geometrical) isomers are formed.