Winston completed 10-of-19 passes for 148 yards and Williams finished with 83 rushing yards on nine carries as the Seminoles (3-0) rolled to a third straight win beginning the season.
Devonta Freeman led FSU's ground attack with 112 yards on 10 carries.
The Wildcats (3-1) got just 60 combined passing yards on 8-of-17 efficiency from quarterbacks Jackie Wilson and Quentin Williams.
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