The officers of an authority shall consist of a chair, vice chair, secretary, treasurer, and other officers as its board shall deem necessary or appropriate. The offices of secretary and treasurer may, but need not, be held by the same person. The chair and vice chair of an authority shall be elected by the board from the membership thereof; the secretary, the treasurer, and any other officers of the authority may be members of the board and shall also be elected by the board. The chair, vice chair, secretary, and treasurer of an authority shall also be the chair, vice chair, secretary, and treasurer of the board, respectively.