Final answer:
The ROTC (Reserve Officer Training Corps) is the commissioning program that allows students to earn both a baccalaureate degree and a commission in the military on a full-time basis.
Step-by-step explanation:
The commissioning program that affords the selected applicant an opportunity to earn a baccalaureate degree on a full-time basis is C) Reserve Officer Training Corps (ROTC). This program provides college students with the opportunity to earn a commission in the United States armed forces while completing their college education. Students in ROTC receive military training alongside their regular coursework, and the program sometimes includes scholarships or stipends that help with tuition. Upon graduation, these students typically enter the military as second lieutenants. As mentioned, the ROTC also allowed the individual to become a "Distinguished Military Graduate" with a lieutenant's commission and a bachelor's degree, summa laude.