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 2024

Advent calendar 2023

Advent calendar 2022

Advent calendar 2021


List of all puzzles

Tags

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

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2025