Answer :

To classify the chemical reaction [tex]$AB + C \rightarrow CB + A$[/tex], let's carefully analyze the components and their interactions:

1. Components of the Reaction:
- We start with a compound [tex]\(AB\)[/tex] and a single element [tex]\(C\)[/tex].
- After the reaction, the product [tex]\(CB\)[/tex] is formed along with another single element [tex]\(A\)[/tex].

2. Nature of the Changes:
- In this reaction, the element [tex]\(C\)[/tex] replaces the element [tex]\(A\)[/tex] in the compound [tex]\(AB\)[/tex] to form a new compound [tex]\(CB\)[/tex].
- The element originally part of the compound ([tex]\(A\)[/tex]) is now free by itself.

3. Type of Reaction:
- This process wherein one element replaces another element in a compound is known as a single replacement reaction.

4. General Characteristics of Single Replacement Reactions:
- These reactions involve one element being displaced by another element in a compound.
- They typically follow the pattern [tex]\(XY + Z \rightarrow XZ + Y\)[/tex], where [tex]\(Z\)[/tex] is a single element that replaces [tex]\(Y\)[/tex] in the compound [tex]\(XY\)[/tex] to form a different compound [tex]\(XZ\)[/tex].

Therefore, the chemical reaction [tex]$AB + C \rightarrow CB + A$[/tex] is classified as a single replacement reaction.