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

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