Concept:
Coenzymes help enzymes by carrying specific chemical groups during biochemical reactions.
Step 1: Match Coenzyme A.
Coenzyme A carries acyl groups during metabolism.
\[
A \rightarrow III
\]
Step 2: Match Cobamide coenzymes.
Cobamide coenzymes, such as vitamin \(B_{12}\) derivatives, are involved in transfer of alkyl groups.
\[
B \rightarrow IV
\]
Step 3: Match Flavin Mononucleotide.
Flavin mononucleotide is involved in oxidation-reduction reactions and carries hydrogen atoms or electrons.
\[
C \rightarrow I
\]
Step 4: Match Biocytin.
Biocytin is involved in carboxylation reactions and carries carbon dioxide.
\[
D \rightarrow II
\]
Therefore, the correct matching is:
\[
A-III,\ B-IV,\ C-I,\ D-II
\]
\[
\therefore \text{Correct Answer is (D)}
\]