Austin Hollins scored 16 for the 11th-seeded Gophers (21-12), who advanced to Sunday's third round against No. 3 seed Florida in the South Regional. The Gophers eased some pressure on coach Tubby Smith by giving him his first NCAA tournament win in six seasons.
Another early-round exit by the sixth-seeded Bruins (25-10) won't help Howland, who is facing public speculation back home about his future despite winning the Pac-12 regular-season title this year.
Muhammad, expected to leave for the NBA, led the Bruins with 20 points.
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