Full 2018-2019 UNC Men's Basketball Schedule Released Posted Sep 13, 2018 UNC, which a year ago faced the most difficult schedule in the country according to KenPom.com, is scheduled to play 14 opponents this season who participated in the 2018 NCAA Tournament. The ACC released the 2018-19 men's basketball schedule Thursday. UNC's slate of opponents includes six non-conference and eight ACC teams who played in last year's NCAA Tournament. (GoHeels.com)