Definition:Enumeration/Finite

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Definition

Let $X$ be a finite set of cardinality $n \in \N$.

An enumeration of $X$ is a bijection $x: \N_n \to X$, where $\N_n = \set {1, \ldots, n}$.


Notation

A finite enumeration would usually be denoted as:

Let $X = \set {x_1, \ldots, x_n}$.