North Carolina Michigan State Connecticut Villanova
never
No. The 1964 final four were UCLA (champion), Duke (runner-up), Kansas State, and Michigan. The Beavers were in the 1963 Final Four with Loyola of Chicago (champion), Cincinnati (runner-up), and Duke. The Beavers also made the Final Four in 1949.
Wake Forest has only been to the Final Four one time, in 1962.
That would be 5 times
twice
13 times as of 2008
2 times
Purdue has made the Final Four twice, in 1969 and 1980.
Michigan has made its way to the Frozen Four 24 times, with Boston College (22) and Boston University (21) close behind. Information current up to the 2011 Frozen Four.
The University of Texas has made the Final Four three times: 2003, 1947, 1943 They have yet to win the national championship in Division I basketball.
The Pittsburgh Panthers have only been to the Final Four once, as of June 2014, and that was in 1941. The Panthers have made three appearances in the Elite Eight.