This page contains numbers appearing in combinatorics, which don’t fit on other lists.

List of numbers appearing in combinatorics Edit

The number 7,825 is the smallest natural number n, for which the set {1, 2, 3, … , n} cannot be written as a union of two disjoint sets, such that both of them contain no Pythagorean triples.[1]

The Kubo character has 11,007 possible mouth expressions and 4,429 possible brow expressions, and therefore 11,007×4,429=48,750,003 possible facial expressions.

6,670,903,752,021,072,936,960 is a combinatoric number equal to the number of possible 9×9 Sudoku grids.[2]

6,670,903,752,021,072,936,960 is roughly equal to \(f_2(66)\) in the fast-growing hierarchy.

Sources Edit

  1. Boolean Pythagorean triples problem
  2. Mathematics of Sudoku - Wikipedia