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Write down the set that formally represents the ordered triple $(a, b, c)$

How do I write this set formally?

Definition: an ordered triple $(a, b, c)$ is a mathematical construction that “bundles” three objects a, b and c

So essentially a Cartesian product $A \times B \times C$

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  • $\begingroup$ It is possible the question is asking you to combine $(a, b, c) = ((a, b), c)$ and $(a, b) = \{ \{ a \}, \{ a, b \} \}$ and then expand the definitions? $\endgroup$
    – Daniel Schepler
    Oct 9, 2018 at 22:52

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Set Builder Notation is quite handy $$A\times B\times C = \{(a,b,c)\;|\;a\in A,\;b\in B,\;c\in C\}$$

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