I was gonna post a question, and this thread is on a similar track.
"How many times has a Final Four match-up been the FOURTH meeting between two teams?"
I found one, and it wasn't what I expected. I expected Georgetown-Villanova in 1985 -- but they only played three times. One case was Georgetown-St. John's in 1985, where Georgetown won the national semis beating St. John's at Rupp Arena, after beating St. John's in the Big East finals at MSG. The two teams split in the regular season, each winning on the other's home court (well, Capital Centre and MSG).
I also thought there might have been four games between Virginia and UNC in 1981, when they met in the Final Four -- but the two teams did not play at the ACC's.
Also, there are many examples, I expect, back in the days of the Dixie Classic and the Big Four tournament, because the Big Four could play three times in the regular season and again in the ACC's -- which is why I specified "had to meet in the Final Four." I can't remember when the Big Four stopped, but Duke and UNC played four times in 1978-1979, splitting the games.
Sage Grouse
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'When I got on the bus for my first road game at Duke, I saw that every player was carrying textbooks or laptops. I coached in the SEC for 25 years, and I had never seen that before, not even once.' - David Cutcliffe to Duke alumni in Washington, DC, June 2013