4 or 5
The Tar Heels have won four NCAA championships: 57, 82, 93, & 05. Correction: they have won 6 now... 1924, 1957, 1982, 1993, 2005, 2009.. count them they are 6
haha duke is better
Re-correction: 5 - 1924 was 'selected' 18 years later in 1942 by the Helms Foundation (John Helms and business manager Bill Schroeder).
If you include these (which most schools and the NCAA don't), Kentucky's total increases to 9 (1933 and 1954 - the latter of which they finished 25-0 but chose not to attend the NCAA tournament).
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The TarHeels have 6 in Men's Basketball, 4 in Lacrosse, 2 in Men's Soccer, 1 in Woman's Basketball, 6 in Field Hockey, and 21 Woman's Soccer National Championships.
Four: 1957, 1982, 1993, and 2005. now they have 6. they won the NCAA Championship in 1924, 1957, 1983 (I was there), 1993, 2005, 2009
They have won 5 National Tiles, 1957, 1982, 1993, 2005 and 2009. Now third overall behind Kentucky's 7 and UCLA's 11.