Eligibility service for a member consists of service credit:

(1) for employment as a member;

(2) regained under § 24-304 of this subtitle by a member who redeposits accumulated contributions previously withdrawn;

(3) transferred from a retirement or pension system under Title 37 of this article;

(4) for military service as provided in Title 38 of this article; or

(5) purchased under this subtitle.