When authorized by local law, and in accordance with its provisions, the county executive may establish additional departments or change the functions of existing departments under his jurisdiction, provide for their organization and maintenance and assign to each the functions it shall perform, including functions exercised at the time of such reorganization by any other administrative departments, offices or agencies of the county not headed by elective officers. Any such department, office or agency, when all of its functions are so assigned, may be abolished by local law. County functions not expressly assigned by this chapter shall be distributed among departments as may be provided by local law.
N.Y. Alt. County Gov't Law § 201