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1911: 2 Champions, Zero Agreement

SPLIT

Penn State (8-0-1) and Princeton (8-0-2) both finished unbeaten, and the National Championship Foundation named them co-champions, but the Helms Athletic Foundation picked Princeton alone.

The case for each side

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8-0-2 under Bill Roper; named national champion by the Billingsley Report, Helms Athletic Foundation, Houlgate System, and Parke H. Davis, and co-national champion (with Penn State) by the National Championship Foundation. The New York Times also named Princeton champion at season's end.

Princeton’s 1911 schedule

No national title game was played after the 1911 season: before 1998 there was no mechanism to play one, which is why so many of these seasons were settled by vote instead.

1911 College Football National Championship: Princeton or Penn State? - Winsipedia