Free Ordered and Unordered Partitions Calculator - Given a population size (n) and a group population of (m), this calculator determines how many ordered or unordered groups of (m) can be formed from (n)

This calculator has 2 inputs.

This calculator has 2 inputs.

k = n/m

Unordered: a = n!/(k!)(m!^{k})

Ordered: a = n!/m!^{k}

For more math formulas, check out our Formula Dossier

Unordered: a = n!/(k!)(m!

Ordered: a = n!/m!

For more math formulas, check out our Formula Dossier

- factorial
- The product of an integer and all the integers below it
- ordered partitions
- a list of pairwise disjoint nonempty subsets of s such that the union of these subsets is s.
- partition
- a grouping of its elements into non-empty subsets, in such a way that every element is included in exactly one subset.
- unordered partitions
- A partition is unordered when no distinction is made between subsets of the same size (the order of the subsets does not matter