---
tag: MYJ8Y050J0
kind: concept
name: Multiset
aliases: [bag-mathematics, multi-set, multichoose, multiset-coefficient, multiset-number, multisets, subbag]
sources:
  - wikipedia: en:305303@r1370132396
    locator: Multiset
    note: adopted
    mention: wikipedia://en/305303
    sections: [Summary]
same_as:
  wikidata: Q864377
  wikipedia: Multiset
inventory: [BPVS1X8NMQ]
---

## Summary

In mathematics, a **multiset** (or **bag**, or **mset**) is a modification of the concept of a [[set|0BSJ7RQ9BW]] that, unlike a set, allows for multiple instances for each of its elements. The number of instances given for each element is called the *multiplicity* of that element in the multiset. As a consequence, an infinite number of multisets exist that contain only elements $a$ and $b$, but vary in the multiplicities of their elements: