In North Carolina, there are total seventeen basins. Five basins are present in western region that drains to the Gulf of Mexico and the other river basins drains to the Atlantic Ocean.
11 of the river basins out of total 17 river basins originates in North Carolina and only four basins flow entirely within the state and rest drains to Gulf of Mexico and the Atlantic Ocean.
Hence, the correct option is "Gulf of Mexico and the Atlantic Ocean".