N.Y. Not-for-Profit Corporation Law § 712
(a) The certificate of incorporation, the by-laws, or the board may create committees of the board, each consisting of three or more directors. The board shall appoint the members of such committee of the board, except that in the case of any executive committee or similar committee however denominated, the appointment shall be made by a majority of the entire board, provided that in the case of a board of thirty members or more, the appointment shall be made by at least three-quarters of the directors present at the time of the vote, if a quorum is present at that time. In addition, the by-laws may provide that directors who are the holders of certain positions in the corporation shall be ex-officio members of specific committees. Each such committee shall have the authority of the board to the extent provided in a board resolution or in the certificate of incorporation or by-laws, except that no committee of any kind shall have authority as to the following matters: