Concept:
Vaccines are prepared using different biological approaches. Classification depends on how the antigen is produced and introduced into the body.
Step 1: Analyze the attenuated vaccine pair.
Attenuated vaccines contain weakened forms of pathogens capable of stimulating immunity without causing severe disease.
The given pair is accepted as correctly matched.
Step 2: Analyze the inactivated vaccine pair.
Cholera vaccines are examples of inactivated whole-agent vaccines.
Thus this pair is correctly matched.
Step 3: Analyze the toxoid vaccine pair.
Diphtheria vaccine contains diphtheria toxoid.
A toxoid is an inactivated bacterial toxin that still retains antigenicity.
Therefore this pair is correct.
Step 4: Examine the recombinant vector vaccine pair.
Polio vaccines are traditionally of two types:
\[
\text{OPV (Oral Polio Vaccine)}
\]
and
\[
\text{IPV (Inactivated Polio Vaccine)}
\]
Neither is classified as a recombinant vector vaccine.
Therefore this pairing is incorrect.
Step 5: State the answer.
The mismatched pair is
\[
\boxed{\text{Recombinant vector vaccines — Polio vaccine}}
\]