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

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