The Secretary of the Navy may enter into an agreement with an accredited institution of higher education to permit a student described in subsection (b) enrolled at that institution to receive instruction at the Naval Postgraduate School on a tuition-free basis. In exchange for the admission of the student, the institution of higher education shall be required to permit an officer of the armed forces to attend on a tuition-free basis courses offered by that institution corresponding in length to the instruction provided to the student at the Naval Postgraduate School.