2023 New York Laws › ACG - Alternative County Government › Article 2 - Alternative Forms of County Government › 50 - County Administrator Form.

§ 50. County administrator form. A county which shall adopt the county
  administrator  form  of  government  shall have a county executive to be
  called "county administrator." The board of  supervisors  shall  appoint
  the  county  administrator  to serve during the term of office for which
  the members of such board then in office were elected. Successors  shall
  be appointed for like terms. Vacancies shall be filled by appointment by
  the  board  of  supervisors  for the remainder of the term of office for
  which the members of such board then in office were elected.  No  member
  of  the  board of supervisors, other than the chairman shall, during the
  term for which he was elected, be eligible  for  appointment  as  county
  administrator.  The board of supervisors may appoint the chairman of the
  board of supervisors as county  administrator,  who  shall  perform  the
  duties  of  county administrator concurrently with those of chairman but
  without additional compensation.  The  county  administrator  may,  when
  authorized  by  local  law, serve as the head of one or more departments
  not  administered  by  an  elective  official  but  without   additional
  compensation.  The  board  of supervisors shall appoint a county auditor
  who shall serve during the term of office for which the members of  such
  board  then  in  office  were elected. Successors shall be appointed for
  like terms. In  any  county  having  an  elective  county  auditor,  the
  incumbent  of  the  office  shall  continue  in office, unless a vacancy
  otherwise occurs, until the expiration of the term of office  for  which
  he  was  elected.  Vacancies  in  the  office of county auditor shall be
  filled by appointment by the board of supervisors for the  remainder  of
  the  term  of  office for which the members of such board then in office
  were elected. The county auditor shall audit all  claims,  accounts  and
  demands  which  are made county charges by law and which otherwise would
  be audited by the board of supervisors. The county treasurer  shall  pay
  the  amounts  audited  and  certified by such auditor as if the same had
  been audited by the board of  supervisors.  The  provisions  of  section
  three  hundred sixty-nine of the county law shall apply to the audit and
  payment of claims against the county. The county administrator,  subject
  to  confirmation  by  the  board  of supervisors, shall appoint a county
  purchasing agent who shall serve  during  the  term  of  office  of  the
  administrator.  Successors  shall be appointed for like terms. Vacancies
  in the office of county purchasing agent shall be filled by  appointment
  in  like  manner  for  the  remainder of the term. The county purchasing
  agent shall have and exercise all functions, powers and duties vested in
  or imposed upon the office under article nine of this chapter  or  other
  general  law.  The  foregoing  provisions of this section, together with
  other applicable provisions of this chapter, including those  provisions
  which  may  be  made  applicable,  shall constitute the structure of the
  county administrator form of government authorized to be adopted by this
  chapter.