Any employee may be separated from his or her position by being laid off. Reduction in the number of employees shall be made in such class or classes as the appointing authority may designate; provided, however, within each class affected by such reduction employees shall be laid off in the following order:
(1) Temporary employees who did not have permanent status in some other position in the classified service at the time they were appointed to their present position.
(2) Probationary employees who did not have permanent status in some other position in the classified service at the time they were appointed to their present position.
(3) Other temporary employees.
(4) Other probationary employees.
(5) Employees having permanent status in the position in the classified service.