When did nc state win the national championship?
No context provided
When did nc state win the men's basketball national championship under Norm Sloan?
1974
No context provided
When did nc state win the men's basketball national championship under Jim Valvano?
1983
NCAA Division I Women's Volleyball Tournament
https://en.wikipedia.org/wiki/NCAA%20Division%20I%20Women%27s%20Volleyball%20Tournament
College Football Playoff National Championship
https://en.wikipedia.org/wiki/College%20Football%20Playoff%20National%20Championship
List of NCAA Division I men's basketball champions
https://en.wikipedia.org/wiki/List%20of%20NCAA%20Division%20I%20men%27s%20basketball%20champions
BCS National Championship Game
https://en.wikipedia.org/wiki/BCS%20National%20Championship%20Game
NCAA Division I Women's Basketball Tournament
https://en.wikipedia.org/wiki/NCAA%20Division%20I%20Women%27s%20Basketball%20Tournament
The 1974 NCAA Division I Basketball Tournament involved 25 schools playing in single-elimination play to determine the national champion of men's NCAA Division I college basketball. It was the first tournament to be designated as a Division I championship—previously, NCAA member schools had been divided into the "University Division" and "College Division". 
1974 NCAA Division I Basketball Tournament
North Carolina State, coached by Norm Sloan, won the national title with a 76–64 victory in the final game over Marquette, coached by Al McGuire. 
1974 NCAA Division I Basketball Tournament
North Carolina State, coached by Jim Valvano, won the national title with a 54–52 victory in the final game over Houston, coached by Guy Lewis.
1974 NCAA Division I Basketball Tournament
The 1974 NCAA Division I Basketball Tournament involved 25 schools playing in single elimination play to determine the national champion of men's NCAA Division I college basketball. It was the first tournament to be designated as a Division I championship previously, NCAA member schools had been divided into the "University Division" and "College Division". North Carolina State, coached by Norm Sloan, won the national title with a 76–64 victory in the final game over Marquette, coached by Al McGuire. In 1983, North Carolina State, coached by Jim Valvano, won the national title with a 54–52 victory in the final game over Houston, coached by Guy Lewis.