MacMahon's Master Theorem

MacMahon's master theorem, in enumerative combinatorics and linear algebra, is a result Percy MacMahon discovered and published in his 1916 monograph Combinatory Analysis. It has become a standard tool for deriving binomial identities, including Dixon's identity, and MacMahon himself called it a master theorem for how readily it resolved many otherwise difficult combinatorial questions; later mathematicians including I. J. Good and Leonard Carlitz gave new proofs, and further quantum and noncommutative generalizations followed. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/