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Definition of Ordered tuple: Suppose that $X$ is a set. If $x,y \in X$, then one may form the ordered pair $(x,y)$. Similarly, if $x,y,z \in X$, one may form an ordered triple $(x,y,z)$, and if $x,y,z,w \in X$, one may form an ordered quadruple $(x,y,z,w)$, et cetera.
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