Mayes was 9-of-15 shooting while Williams made 6 of 11 from the field and hit all 12 of his free-throw attempts. Marcus Barham added 20 points for FAMU (8-23, 7-8 Mid-Eastern Athletic Conference).
South Carolina State (10-20, 6-9) made four more (27) field goals than the Rattlers, but was outscored 26-18 from the free-throw line, where FAMU shot 81.3 percent.
The Rattlers are tied with Morgan State for seventh in the conference standings -- one game behind North Carolina Central. South Carolina State fell into an eighth-place tie with Howard.
Huskies' Thybulle drops in a reverse dunk on alley-oop
Washington G Jaylen Nowell lobs a pass up to G Matisse Thybulle, who finishes with a one-handed reverse dunk.
Nowell scores 18 as Washington holds off San Diego 66-63
Jaylen Nowell scored 12 of his 18 points in the second half, Noah Dickerson added 16 points, and Washington held off a late rally to beat San Diego 66-63 on Monday night.
Parks expects to return for Memphis for visit to No. 22 LSU
Memphis first-year coach Penny Hardaway's team gets an early season opportunity to gauge itself when it visits No. 22 LSU on Tuesday night in its first road game.