Rodgers completed 16-of-25 passes en route to 108 yards for the Commodores (9-4), who tied a school record for victories with their seventh straight triumph to end the season.
Vanderbilt's ground game was led by Zac Stacy with 107 yards and a touchdown on 25 carries.
The Commodores' defense also played a big role in the win, forcing five turnovers.
North Carolina State (7-6) got 383 passing yards from Mike Glennon, but he was intercepted three times.
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