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Advent calendar 2020

13 December

There are 6 ways to split the sequence of the numbers 1 to 5 into three shorter sequences:
Today's number is the number of ways to split the sequence of the numbers 1 to 10 into five shorter sequences.

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

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