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Advent calendar 2022

21 December

In the annual tournament of Christmas puzzles, each player must play one puzzle match against each other player. Last year there were four entrants into the tournament (A, B, C, and D), and so 6 matches were played: A vs B, C vs D, A vs D, A vs C, D vs B, and finally B vs C.
This year, the tournament has grown in popularity and 22 players have entered. How many matches will be played this year?

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

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