---
tag: ADEGQQTXYY
kind: statement
role: proposition
name: Combinatorial laws
sources:
  - wikipedia: en:77662984@r1362840840
    locator: Law (mathematics), section Notable examples > Combinatorial laws
    note: adopted
    mention: wikipedia://en/77662984#OSSA
    sections: [Statement]
inventory: [TWBTK3W5YT]
---

## Statement

[[Pigeonhole principle|0HGVCWQGY3]]: If *$n$* items are put into *$m$* containers, with $n > m$, then at least one container must contain more than one item. For example, of three gloves (none of which is ambidextrous/reversible), at least two must be right-handed or at least two must be left-handed, because there are three objects but only two categories of handedness to put them into.