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

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