HMMT 2003 E6
- General 1
- Answer
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.)
Dataset text NuminaMath olympiads. Quoted with source.
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