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How many legal board positions exist in a standard game of Connect Four?

4.53 trillion
positions
4,531,985,219,092 exactly, give or take
That plastic lunchroom grid holds 4,531,985,219,092 legal positions — over four trillion, and yet the first player can always force a win with perfect play.SOURCEJohn Tromp, computational solution of Connect Four
Scale check: 4.53 trillion is roughly seconds in 32,000 years.
Would you have guessed? You'll be way off.

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