# Definition:Ordered Tuple as Ordered Set/Ordered Triple

(Redirected from Definition:Ordered Triple)

## Definition

The ordered triple $\tuple {a, b, c}$ of elements $a$, $b$ and $c$ can be defined either as the ordered pair:

$\tuple {a, \tuple {b, c} }$

or as the ordered pair:

$\tuple {\tuple {a, b}, c}$

where $\tuple {a, b}$ and $\tuple {b, c}$ are themselves ordered pairs.

Whichever definition is chosen does not matter much, as long as it is understood which is used. And even then, the importance is limited.

## Also known as

An ordered triple is also sometimes seen named an ordered triad.