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(C) For complex $A$,$[Ni(H_2O)_5NH_3]^{2+}$,it is of the type $[MA_5B]$,which does not show geometrical or optical isomerism.For complex $B$,$[Ni(H_2O

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$B$ and $C$ show geometrical and optical isomerism

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(C) For complex $A$,$[Ni(H_2O)_5NH_3]^{2+}$,it is of the type $[MA_5B]$,which does not show geometrical or optical isomerism.For complex $B$,$[Ni(H_2O)_4(NH_3)_2]^{2+}$,it is of the type $[MA_4B_2]$. It shows geometrical isomerism ($cis$ and $trans$ forms). The $cis$ form is optically active.For complex $C$,$[Ni(H_2O)_3(NH_3)_3]^{2+}$,it is of the type $[MA_3B_3]$. It shows geometrical isomerism ($facial$ and $meridional$ forms). The $facial$ form is optically active.Thus,both $B$ and $C$ exhibit geometrical and optical isomerism.

The correct statement on the isomerism associated with the following complex ions,
$A$. $[Ni(H_2O)_5NH_3]^{2+}$
$B$. $[Ni(H_2O)_4(NH_3)_2]^{2+}$ and
$C$. $[Ni(H_2O)_3(NH_3)_3]^{2+}$ is

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The correct statement on the isomerism associated with the following complex ions,$A$. $[Ni(H_2O)_5NH_3]^{2+}$$B$. $[Ni(H_2O)_4(NH_3)_2]^{2+}$ and$C$. $[Ni(H_2O)_3(NH_3)_3]^{2+}$ is