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

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