Smith and Jericole Hellems combined to score the opening nine points of the game as it took nearly four minutes for Bethune-Cookman to score. Seabron gave N.C. State a 30-20 lead with 4:19 left in the first half but Bethune-Cookman got within 34-29 at the break by making five of its last seven shots.
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N.C. State closed the game on a 10-2 run as Bethune-Cookman missed seven straight shots in the final six minutes.
Both teams shot less than 40% from the field.
Hellems finished with 13 points for N.C. State (7-2), which faces No. 1 Purdue on Sunday in Brooklyn, N.Y. at the Basketball Hall of Fame Invitational. Seabron recorded his sixth double-double of the season.
Purdue's reign at the top will be short-lived as the Boilermakers fell to Rutgers 70-68 on Thursday night.
Seabron was named ACC player of the week for the second time this season after averaging 25 points, 14 rebounds, and three assists in N.C. State's 104-100 quadruple-overtime victory over Nebraska and a 73-68 loss to Louisville. Smith was the freshman of the week, averaging 13 points and 7.5 rebounds.
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Joe French scored 12 of his 14 points in the first half and Dylan Robertson added 10 points for Bethune-Cookman (1-8). The Wildcats are led by new head coach Reggie Theus.
It was the first meeting between N.C. State and Bethune-Cookman. The Wolfpack have won 29 consecutive regular-season games at home against non-conference opponents.