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MathNet 2026 — Part 06 Question 196

Math Olympiad Vault · MathNet 2026 — Part 06

Question 196

How many crosswords can we make from the word “CROSSWORD”, assuming the following rules?
1. A crossword has two words, one horizontal and one vertical, intersecting at a single letter.
2. A 'word' is any ordered set of at least two letters. It does not need to be a real word in any language.
3. Letters should be used as often as they appear in "CROSSWORD".
4. Two crosswords are different unless they have the same words oriented the same way and meeting at the same point. For instance, the following three crosswords are different:
Question illustration