A metal sulphide $\underset{{\mathrm{H}}_2\mathrm{S}}{\overset{\mathrm{HCl}}{\to }}\mathrm{Black} \mathrm{ppt}\stackrel{\mathrm{YAS}}{\to }\underset{\stackrel{\downarrow \mathrm{Aqua}-\mathrm{regia}}{\mathrm{Soluble}}}{\mathrm{Residue}}\underset{{\mathrm{H}}_2{\mathrm{SO}}_4}{\overset{\mathrm{dil}.}{\to }}\mathrm{Insoluble}$

The true statement(s) about the $\mathrm{ppt}$ $X$ is/are

If the number of colourless species among the following is $x$:

${\mathrm{Sc}}^{3+},{\mathrm{Ti}}^{4+},{\mathrm{V}}^{3+},{\mathrm{Zn}}^{2+},{\mathrm{Mn}}^{2+},{\mathrm{Fe}}^{3+},{\mathrm{Ni}}^{2+},{\mathrm{Cu}}^{2+},{\mathrm{Cr}}^{3+}$

and the number of amphoteric species amongst the following is $y$:

${\mathrm{Mn}}_2{\mathrm{O}}_7,{\mathrm{CrO}}_3,{ \mathrm{V}}_2{\mathrm{O}}_5,{ \mathrm{V}}_2{\mathrm{O}}_4,{ \mathrm{V}}_2{\mathrm{O}}_3,\mathrm{CrO},{\mathrm{Fe}}_2{\mathrm{O}}_3$ Calculate $\mathrm{x}+\mathrm{y}$.