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Advent calendar 2024

24 December

There are 343 three-digit numbers whose digits are all 1, 2, 3, 4, 5, 6, or 7. What is the mean of all these numbers?

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

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