All of the categories of positions in the classified and exempt services, as defined in Sections 16-118 and 16-119, above, shall be either full-time positions or part-time positions. Full-time and part-time positions shall be defined as follows: A full-time position shall mean any classified or exempt service position where the authorization for the position is intended to permit the employment of one (1) person for the total number of hours within the standard work week. A part-time position shall mean any classified or exempt service position where the authorization for the position is intended to permit the employment of one (1) person for a stipulated number of hours each pay period where the total number of hours is less than the total number of hours for a full-time position.