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Homework Help: Ordered triples

  1. Feb 17, 2010 #1
    Moderators note: thread moved to homework area.

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    Expand the following down to their representations as sets and simplify.
    i.) ⟨1, 2, 3⟩1 =
    ii.) ⟨1, 2, 2⟩1 =

    These are the definitions i have
    Recall the defintion of ordered pairs:
    ⟨a, b⟩ def = {{a}, {a, b}}
    Recall the following expansion and simplification from class
    ⟨a, a,⟩ = {{a}, {a, a}} = {{a}, {a}} = {{a}}
    Using ordered pairs we could define ordered triples in two different ways:
    ⟨a, b, c⟩1 def = ⟨a, ⟨b, c⟩⟩
    ⟨a, b, c⟩2 def = ⟨⟨a, b⟩, c⟩
    Last edited by a moderator: Apr 24, 2017
  2. jcsd
  3. Feb 18, 2010 #2


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    So... you have the definitions - what's stopping you?
    Just plug in the numbers!
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