Following each municipal election Council shall meet within five (5) days after the beginning of the term of office of the newly elected members of Council for the purpose of organizing. At such meeting the newly elected members of Council shall take the oath of office and the Council shall proceed to elect a Mayor and Vice-Mayor and transact such other business as may come before it. Thereafter, regular meetings shall be held as prescribed in the Council rules, but not less frequently than twice each month. All meetings of Council shall be open to the public, except that the Council may, by a majority vote of all of the members present, enter into an executive session only for those purposes permitted by the general laws of the State of Ohio. A majority of the members shall constitute a quorum at all meetings.