 # Ordered and Unordered Partitions Calculator

## Enter people in each group

### How does the Ordered and Unordered Partitions Calculator work?

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.

### What 3 formulas are used for the Ordered and Unordered Partitions Calculator?

1. k = n/m
2. Unordered: a = n!/(k!)(m!k)
3. Ordered: a = n!/m!k

For more math formulas, check out our Formula Dossier

### What 4 concepts are covered in the Ordered and Unordered Partitions Calculator?

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