A city selection committee shall conduct regular meetings at the times specified by it in its rules and regulations, and shall also meet upon the call of its chairman. The chairman of a selection committee may call a special meeting of the committee at any time, and the chairman shall call a special meeting of the selection committee upon the written request of 50 percent of the members of the city selection committee. When a chairman is required to call a special meeting of a city selection committee pursuant to this section, such a meeting shall be called and held within 60 days after receipt of such written request. Within three weeks prior to the date fixed for a special meeting of the committee, the chairman of the committee shall notify the committee secretary of the date, time, and place of the special meeting.