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Rotating Round Table

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At a large dinner, 24 people are to sit evenly spaced around a round table. Place cards are laid to show where everyone should sit. Unfortunately nobody notices the name cards and the guests sit down with nobody in the correct seat.
Show that it is possible to rotate the table so that at least two people will be in the correct seats.

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Tags: Numbers
If you enjoyed this puzzle, check out Sunday Afternoon Maths LXI,
puzzles about colouring, or a random puzzle.
© Matthew Scroggs 2017