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 ...

The Indian Institutes of Management will conduct the CAT 2023 exam on November 26, 2023. The exam consists of three sessions covering Verbal Ability and Reading Comprehension, Data Interpretation and ...

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 ...

After previously discussing permutations, Dr. James McCaffrey of Microsoft Research uses step-by-step examples and full code presentations to explore combinations. A zero-based mathematical (n, k) ...

Combinatorial designs and finite group theory form a rich intersection of discrete mathematics and algebra, where structured arrangements of elements are studied alongside the algebraic properties of ...

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.