olymmath

JBMO-SL 2012 C1

    Along a round table are arranged 11 cards with the names (all distinct) of the 11 members of the 16th 16^{\text {th }} JBMO Problem Selection Committee. The distances between each two consecutive cards are equal. Assume that in the first meeting of the Committee none of its 11 members sits in front of the card with his name. Is it possible to rotate the table by some angle so that at the end at least two members of sit in front of the card with their names?

    Dataset text NuminaMath olympiads. Quoted with source.

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