mscroggs.co.uk
mscroggs.co.uk

subscribe

Puzzles

Rotating round table

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.

Show answer & extension

Tags: numbers
If you enjoyed this puzzle, check out Sunday Afternoon Maths XLIV,
puzzles about numbers, or a random puzzle.

Archive

Show me a random puzzle
 Most recent collections 

Advent calendar 2023

Advent calendar 2022

Advent calendar 2021

Advent calendar 2020


List of all puzzles

Tags

colouring combinatorics planes integers palindromes floors number dice indices coordinates trigonometry multiplication unit fractions decahedra albgebra chocolate addition crossnumber factorials shapes routes triangle numbers pascal's triangle crosswords sport consecutive numbers the only crossnumber money cryptic clues digital clocks rectangles sums square numbers tournaments ave gerrymandering symmetry quadratics calculus algebra clocks star numbers parabolas folding tube maps logic probability cryptic crossnumbers range geometric mean crossnumbers functions books median determinants squares geometry division tiling surds factors rugby prime numbers consecutive integers polygons mean dates sum to infinity perimeter pentagons dominos people maths time sets binary polynomials odd numbers bases sequences cube numbers means products arrows area differentiation digital products spheres matrices circles 2d shapes triangles 3d shapes square roots proportion geometric means speed elections partitions angles cubics hexagons fractions averages coins digits grids irreducible numbers games lines quadrilaterals chalkdust crossnumber tangents expansions perfect numbers multiples dodecagons cards volume chess menace balancing percentages probabilty complex numbers christmas regular shapes doubling integration shape graphs advent wordplay axes even numbers numbers taxicab geometry scales ellipses remainders

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2024