Definition:Ordered Tuple as Ordered Set/Ordered Triple

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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.

Also see