Imagine you turn the table round, a place at the time. (After 24 moves, the table would be back at the original position, so you will move it 23 times.) At some time or other, everybody will be in its place, so there will be 24 coincidences. But, since at the original position there were none, the 24 coincidences will happen as the table is turned 23 times... SOME time there will have to be at least 2 coincidences.
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