To solve this problem, we need to match the genes in List I with their corresponding products in List II. Let's analyze each gene:$\newline \bullet$A. Gene 'a':$\newline$ - Gene 'a' is responsible for coding the enzyme transacetylase.$\newline$ - This matches with II.$\newline \bullet$B. Gene 'y':$\newline$ - Gene 'y' codes for the enzyme permease, which facilitates the entry of lactose into the cell.$\newline$ - This matches with III.$\newline \bullet$C. Gene 'I':$\newline$ - Gene 'I' codes for the repressor protein, which regulates the expression of the lac operon.$\newline$ - This matches with IV.$\newline \bullet$D. Gene 'z':$\newline$ - Gene 'z' codes for the enzyme β-galactosidase, which breaks down lactose into glucose and galactose.$\newline$ - This matches with I.$\newline$Now, let's match the items from List I with List II:$\newline A \rightarrow II, B \rightarrow III, C \rightarrow IV, D \rightarrow I \newline$This corresponds to Option 2.