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MathNet 2003 — Part 02 Question 151

Math Olympiad Vault · MathNet 2003 — Part 02

Question 151

In how many ways can 3 bottles of ketchup and 7 bottles of mustard be arranged in a row so that no bottle of ketchup is immediately between two bottles of mustard? (The bottles of ketchup are mutually indistinguishable, as are the bottles of mustard.)