No they have not. The closest they've ever gotten to winning it all was in 1964 when they made it to the Elite Eight.
Yes in 1960.
THE Ohio State Buckeyes
1 championships 6 titles mostly played in a fieastea bowl and rose and sugar
the Florida gators anf the Ohio state buckeyes
Ohio State's current basketball coach is Thad Matta.
North Carolina, Duke, NC State and Maryland
I don't know the complete list, but I do know that Michigan State was the first D-1 university to win two championships in both basketball and football. Florida is another one.
The University of Kansas recognizes 5 (3 NCAA National Championsips and 2 Helms National Championships). The NCAA Championships occurred in 1952, 1988, and 2008. The Helms Championships occurred in 1922 and 1923.