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

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