Final answer:
The COOL (Credentialing Opportunities On-Line) program is the one that covers costs for professional licensing and certifications for service members. The GI Bill, while offering extensive benefits for educational and home loan purposes, does not focus on credentialing. Other programs like TA and CNO have different purposes.
Step-by-step explanation:
The program that provides payment of credentialing services associated with professional licensing, certifications, renewals, and mandatory administrative fees is the COOL (Credentialing Opportunities On-Line) program. While the GI Bill provides significant benefits to veterans, including tuition for college or vocational school, along with low-interest loans for homes and businesses, it does not primarily deal with credentialing services.
On the contrary, TA (Tuition Assistance) focuses on tuition payments for service members currently enrolled in courses, and the CNO (Chief of Naval Operations) Program addresses leadership and policy for the U.S. Navy but is not tied to providing credentialing services.