Wyo. Stat. § 15-5-108
If a position is to be filled in either department, the governing body or chief of the department shall request from the commission the names of five (5) eligible persons. Upon request, the commission shall certify for departments the names of the five (5) qualified applicants having the highest percentage of proficiency, one (1) of whom shall be employed. If all persons certified are unsuitable for the position, the commission shall certify additional names, but the reason for certification of the additional names shall be stated in the certificate. If there are no registered, eligible applicants, the commission may allow provisional employment, or it may authorize the appointive authority to select a suitable person for examination, and if qualified, that person shall be certified for employment.
W.S. 15-5-108