Concept:
Coordination compounds exhibit several types of structural isomerism.
The important ones are:
• Linkage isomerism: Caused by ambidentate ligands such as \(NO_2^{-}\) and \(SCN^{-}\).
• Ionisation isomerism: Caused by exchange between a coordinated ion and a counter ion.
• Coordination isomerism: Occurs in compounds containing both cationic and anionic complex ions due to interchange of ligands.
Step 1: Identify the linkage isomer.
The ligand \(NO_2^{-}\) can coordinate through either nitrogen or oxygen.
Thus,
\[
[Co(NH_3)_5(NO_2)]Cl_2
\]
and
\[
[Co(NH_3)_5(ONO)]Cl_2
\]
are linkage isomers.
Hence,
\[
\boxed{A\rightarrow2.}
\]
Step 2: Identify the ionisation isomer.
The compounds
\[
[Co(NH_3)_5SO_4]Br
\]
and
\[
[Co(NH_3)_5Br]SO_4
\]
differ by interchange of the coordinated ion and counter ion.
Hence,
\[
\boxed{B\rightarrow1.}
\]
Step 3: Identify the coordination isomer.
The compounds
\[
[Co(NH_3)_6][Cr(CN)_6]
\]
and
\[
[Cr(NH_3)_6][Co(CN)_6]
\]
are formed by interchange of ligands between two complex ions.
Hence,
\[
\boxed{C\rightarrow3.}
\]
Thus,
\[
\boxed{
A-2,\;
B-1,\;
C-3
}
\]
Therefore,
\[
\boxed{\textbf{Option (A)}}
\]
is the correct answer.