They havent won any national championships
University of Kentucky
UCLA Bruins
none
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).
National Basketball Association
The University of Tennessee under pat Summitt
6
Two, in 2006 & 2007.
National Basketball Association