BALTIC-WAY 2010 Problem 8
- Answer
In a club with 30 members, every member initially had a hat. One day each member sent his hat to a different member (a member could have received more than one hat). Prove that there exists a group of 10 members such that no one in the group has received a hat from another one in the group.
Dataset text NuminaMath olympiads. Quoted with source.
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10
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