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

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