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.
College basketball Power Rankings: Auburn is for real
The Tigers look like the class of the SEC, proving that last season was no fluke.
Washington team bus blows tire, catches fire after loss to Auburn
The Huskies men's basketball team was forced to evacuate the team bus after it blew a tire and caught fire Friday night following an 88-66 loss at No. 11 Auburn.
Raimo, Stepteau help Hawaii beat Portland 82-64
Zigmars Raimo tied his career-high with 17 points and Brocke Stepteau scored 16, including four 3-pointers, to help Hawaii beat Portland 82-64 on Friday night.