As of June 2014, the University of North Carolina Tar Heels men's team have won five NCAA Championships in Basketball. They were also the Helms champions in 1924, which predated the NCAA tournament. The Tar Hells have been the runner-up four times.
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The University of North Carolina has won five NCAA men's basketball championships (1957, 1982, 1993, 2005, 2009). In addition, the school was awarded the Helms Foundation Championship in 1926 prior to the creation of the NCAA.
The University of North Carolina Tar Heels have not won any national titles in football.