UNC won the NCAA tournament in mens Basketball in 1957, 1982, 1993, and 2005. They were also unanimously named the national champions in 1924, before the NCAA tournament, having a record of 24-0.
UNC won in '57, '82, '93, '05 and '09.
They DID NOT win a National Championship in 1924. The Helms Athletic Association Foundation (formed in 1936) retroactively voted (basically Helms' business manager Bill Schroeder decided) UNC as best team 18 years later in 1942.
UNC was 26-0 in 1924, but played no one outside the south region and was 0-10 for the decade in games it did play outside the south region. Butler also claims a 1924 National Championship based on their AAU college tournament championship in the same year.
Other than UNC, most schools have not hung banners or recognize the retroactive Helms voted titles (including Kentucky whose total would increase from 7 to 8 if they included the 1933 after the fact seclection).
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