Williams arrived on campus in 1972. He was greeted by a reception which included a sky-writing demonstration which spelled out his name. His freshman year, playing as a guard, his scoring record was especially noteworthy. Williams averaged 29.4 points per game in 1973, fifth best in the nation. The Austin Peay State University basketball team, the Governors, won a bid to the National Collegiate Athletic Association (NCAA) tournament. Williams was true to form; scoring 26 points in a first-round win over Jacksonville University. In the second round of the tournament, Williams managed another 26 points, but the Austin Peay Governors lost to the University of Kentucky, coached by Joe B. Hall, in overtime.