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Advent calendar 2022

6 December

There are 21 three-digit integers whose digits are all non-zero and whose digits add up to 8.
How many positive integers are there whose digits are all non-zero and whose digits add up to 8?

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

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