If a silent mutation occurs in the lac z gene of the lac operon in E.coli:

A silent mutation is a change in the sequence of nucleotide bases which constitutes DNA, without a subsequent change in the amino acid or the function of the overall protein. Therefore, if a silent mutation occurs in the lac z gene of the lac operon in E.coli synthesis of β galactosidase, transacetylase and permease continues unhindered