Yes, they only rank students they interview. Those students who don't match before the rankings are exhausted "scramble"; they speed-date programs that still h

Yes, they only rank students they interview. Those students who don't match before the rankings are exhausted "scramble"; they speed-date programs that still have openings in the hope of matching, so the leftovers are not randomly assigned. (Whether the outcome for them is better than random is hard to say.)