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) ...

The more ideas and possible mixes and matches a law department manager has available to choose from, the more permutations there are. Obvious, yes, but what are the mathematics? Let's consider an ...

Reverse mathematics is a vibrant programme in mathematical logic that investigates the axioms necessary to establish fundamental theorems throughout mathematics. Central to this endeavour are ...

Combinatorial mathematics, or combinatorics for short, is the study of structures consisting of a finite number of objects. It mainly has three forms: enumerative (counting the number of structures of ...

A mathematical puzzle solved by an anonymous anime fans has led to an unexpected breakthrough in combinatorial mathematics, ...

A survey of contemporary topics in mathematics such as: voting systems and power, apportionment, fair division of divisible and indivisible assets, efficient distribution, scheduling and routing, ...