Owlet puzzle #48
Released Saturday, August 22, 2026 UTC
40320
the answer for puzzle #48
The five clues
- A five-digit multiple of seven hundred twenty.
- A factorial value.
- 8 × 5040.
- Number of ways to arrange eight distinct objects in a line — the order of S₈.
- Its prime factorization is 2⁷ · 3² · 5 · 7.
Backstory
40320 = 8! is the size of the symmetric group S₈, the number of ways to arrange a chessboard rank. It also equals the number of distinct permutations of the letters in a set of eight distinct pieces — enough to enumerate every full opening rank exactly once.
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