Final answer:
An exothermic perm is not recommended for fine hair as it generates additional heat that can be damaging, making option C the incorrect match. Acid perms are gentler and suitable for damaged hair, while sodium hydroxide relaxers are used for coarse hair and ammonium thioglycolate relaxers for fine hair.
Step-by-step explanation:
The question pertains to the appropriate pairing of curl rearrangers, also known as chemical relaxers or perms, with different types of hair. Chemical straightening and curling alter the disulfide bonds in hair, which hold the protein structure together. These treatments are tailored to different hair types to avoid damage and achieve the desired result.
The appropriate matches listed are a sodium hydroxide relaxer for coarse, resistant hair, which is a highly potent relaxer appropriate for tough hair fibers, and an ammonium thioglycolate relaxer for fine, delicate hair, which is milder and suitable for less resistant hair types. On the other hand, an acid perm is suitable for damaged hair because it's gentler, whereas an exothermic perm generates additional heat which can be damaging to fine hair, making option C (Exothermic perm for fine hair) the mismatch.