Refer to the Expression Below

Refer to the expression below. The enzyme alcohol dehydrogenase catalyzes this reaction in cells.The enzyme uses the coenzyme NAD⁺ in the reaction.Not shown are details about the active site, which contains a zinc ion that functions as a cofactor.How do the roles of cofactor and coenzyme compare in this particular case?

A) Both function in the catalytic mechanism and do not undergo net chemical change themselves as a result of the reaction.
B) Both function as substrates and undergo net chemical change as a result of the reaction.
C) The coenzyme functions in the catalytic mechanism, changing only transiently, whereas the cofactor functions as a substrate and undergoes net chemical change as a result of the reaction.
D) The cofactor functions in the catalytic mechanism, changing only transiently, whereas the coenzyme functions as a substrate and undergoes net chemical change as a result of the reaction.
E) The cofactor functions as a substrate, changing only transiently, whereas the coenzyme functions in the catalytic mechanism and undergoes net chemical change as a result of the reaction.