There are 1 US Post Offices in Wayne County serving a total of 20,065 residents equating to 20,065 residents per post office. It's estimated that approximately 32,026 packages are handled across the 1 county post offices annually. Wayne County is a county located in the U.S. state of Kentucky. As of the 2010 census, the population was 20,813. Its county seat is Monticello. The county was named for Gen. Anthony Wayne. It is a prohibition or dry county."