Ordered and Unordered Partitions Calculator

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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

Example calculations for the Ordered and Unordered Partitions Calculator

  1. 10 partitions of 5
  2. 18 ordered partitions of 6
  3. 50 unordered partitions of 10



Ordered and Unordered Partitions Calculator Video