none
They havent won any national championships
University of Kentucky
UCLA Bruins
Duke men's basketball has won 4 national championships: 1991, 1992, 2001, and 2010.
ZERO
The Kentucky men's basketball team has won seven national championships, won in 1948, 1949, 1951, 1958, 1978, 1996 and 1998.
Two NAIA baseball championships (1977, 1979), and one in men's basketball (1986).
The University of Tennessee under pat Summitt
Kansas. Kansas has won 13 national championships and Missouri has won 2.
Two, in 2006 & 2007.
6
Zip, Zero, Nada...Never has and probably never will...