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The Vols took a 3-2 lead on McRae's three-pointer 1:23 into the contest and never trailed or were tied again, forging a 19-point lead by the break, 41-22, and maintaining their edge throughout the second half.
McRae scored 21 points for the Vols, who won their second straight game in the tourney after knocking off Iowa, 78-65, in the First Four play-in round.
Stokes was impressive, leading all scorers with 26 points and topping the rebounding charts with a game-high 14, four of them off the offensive glass. Tennessee's inside force was 7-for-11 from the field and 12-for-13 at the foul line, the Minutemen finding no answer to his might but to foul him.
The Vols are the #11 seed in the Midwest region and will face Mercer on Sunday.
One of the other big stories of the day came before Tennessee's win, when Mercer, the #14 seed in the Midwest, upset the #3 seed Duke, 78-71, making the Blue Devils the most recent one-and-done tournament victim.
In the South region, the Mountaineers of Stephen F. Austin - the #12 seed - took down #5 seed, VCU, 77-75 in overtime, when senior leader, Desmond Haymond sent the game into overtime, knocking down a three-point shot with three seconds remaining and getting fouled in the act. Haymond hit the free throw to tie the game and contributed another trey in the overtime.
#1 seeds Arizona, Wichita State and Virginia all advanced, joining the overall #1 seed, Florida.