Eulerian polynomials have long occupied a central role in combinatorics, encapsulating critical information about permutation statistics. In their classical formulation, these polynomials encode the ...

Find complete chapter notes of Permutation and Combination including topics like permutation, linear permutation, circular permutation, combination, relationship between permutation and combination ...

A new proof from the Australian science fiction writer Greg Egan and a 2011 proof anonymously posted online are now being hailed as significant advances on a puzzle mathematicians have been studying ...

Find Solved Practice Paper for IIT JEE Main in this article. This practice paper consists of 10 questions from the chapter Permutations and Combinations. We have tried to include all important ...

Combinatorial enumeration and pattern avoidance represent a vibrant area of modern discrete mathematics, where the objective is to count and characterise structures subject to specific constraints.