Here are all the playoff possibilities for Yale after tonight's game with Cornell.

Seeded 3rd with a win.
Seeded 3rd with a tie and a Union loss or tie.
Seeded 3rd with a tie, a Union win, a Dartmouth win, and a St. Lawrence win.
Seeded 3rd with a loss, a Union tie, a Dartmouth tie, and a St. Lawrence tie.
Seeded 3rd with a loss, a Union loss, a Dartmouth loss or tie, and a St. Lawrence loss or tie.
Seeded 4th with a tie, a Union win, and a Dartmouth loss or tie.
Seeded 4th with a loss, a Union win, a Dartmouth loss or tie, and a St. Lawrence loss or tie.
Seeded 4th with a loss, a Union tie, a Dartmouth loss, and a St. Lawrence loss or tie.
Seeded 4th with a loss, a Union loss, a Dartmouth win, and a St. Lawrence loss or tie.
Seeded 4th with a loss, a Union loss, a Dartmouth loss or tie, and a St. Lawrence win.
Seeded 5th with a tie, a Union win, a Dartmouth win, and a St. Lawrence loss or tie.
Seeded 5th with a loss, a Union win, a Dartmouth win, and a St. Lawrence loss or tie.
Seeded 5th with a loss, a Union win, a Dartmouth loss or tie, and a St. Lawrence win.
Seeded 5th with a loss, a Union tie, a Dartmouth win, and a St. Lawrence loss or tie.
Seeded 5th with a loss, a Union tie, a Dartmouth tie, and a St. Lawrence loss.
Seeded 5th with a loss, a Union tie, a Dartmouth loss, and a St. Lawrence win.
Seeded 5th with a loss, a Union loss, a Dartmouth win, and a St. Lawrence win.
Seeded 6th with a loss, a Union win, a Dartmouth win, and a St. Lawrence win.
Seeded 6th with a loss, a Union tie, a Dartmouth win or tie, and a St. Lawrence win.

In a nutshell, a win guarantees the No. 3 seed. A tie, with one exception, clinches a bye. A loss, and almost anything can happen.