Who Would Win?? n!/nⁿ
A limit staged as a matchup: n!/nⁿ.
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Free for classrooms, worksheets, slides and other non-commercial use under CC BY-NC 4.0, with credit to Ben Orlin.
Cartoon by Ben Orlin, Math with Bad Drawings. https://cartoons.mathwithbaddrawings.com/2025-09-10-who-would-win--factorial/ (CC BY-NC 4.0)Transcript
lim_{n→∞} n!/nⁿ: WAYS TO MAKE A PLAYLIST (NO REPEATS) vs. WAYS TO MAKE A PLAYLIST (ALL THE REPEATS YOU WANT). [Playlists: Pink Pony Club, Come on Eileen, Rolling in the Deep / Pink Pony Club ×3, Hey Ya] WINNER: repeats, repeats, repeats