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Which weekday occurs 53 times in 2026?

calendarcountingmodular-arithmetic

The year 2026 is not a leap year. 1 January 2026 is a Thursday.

  1. Which weekday occurs 53 times in 2026?
  2. On which weekday does 31 December 2026 fall?
  3. On which weekday will 1 January 2027 fall?
Show a hint

365 days is 52 weeks and one extra day. Where does the extra day go?

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Balls and Bins and the Birthday ProblemBinomial Coefficients and Pascal's TriangleBurnside's Lemma and Polya CountingCatalan NumbersChinese Remainder Puzzles

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