the counties are Macomb county and Wayne county.
Macomb County and Wayne County are the two local governmnet organization which can operate under a home rule charter type of government, and both have chosen the county executive form government. when a county or city is incoroprated it can change its charter or rules internally without the hands of the state.
Im assuming that you are asking about the Constitution. Article 2 section 4 of the Constitution literally says, “The President, Vice President and all civil officers of the United States, shall be removed from office on impeachment for, and conviction of, treason, bribery, or other high crimes and misdemeanors.”
(a) is the answer in studying this actually!