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IrMO 2019 Problem 2

  • Paper 1

Jenny is going to attend a sports camp for 77 days. Each day, she will play exactly one of three sports: hockey, tennis or camogie. The only restriction is that in any period of 44 consecutive days, she must play all three sports. Find, with proof, the number of possible sports schedules for Jennys week.

Dataset text AI-MO AoPS. Quoted with source.

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