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Math Help - Having trouble multiplying more than two sets together

  1. #1
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    Question Having trouble multiplying more than two sets together

    I understand the thread about multiplying the two sets together

    {1, 2} x {3, 4} = {(1, 3), (1, 4), (2, 3), (2, 4)}

    but what if there's another set?


    A x B x C = ???

    if it were:

    {1, 2} x {3, 4} x {5, 6}

    how do these sets come together to give the cartesian product?
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  2. #2
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    Hello,

    The cartesian product of n sets gives all the possible n-tuples, formed by 1 element of each.

    So :
    {1, 2} x {3, 4} x {5, 6} = {(1,3,5) , (1,3,6) , (1,4,5) , (1,4,6) , (2,3,5) , (2,3,6) , (2,4,5) , (2,4,6)}
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  3. #3
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    Quote Originally Posted by Roclemir View Post
    A x B x C = ???
    if it were:
    {1, 2} x {3, 4} x {5, 6}
    \{ 1,2\}  \times \{ 3,4\}  \times \{ 5,6\}   = \left\{ {(1,3,5),(1,3,6),(1,4,5),(1,4,6),(2,3,5),(2,3,6),(  2,4,5),(2,4,6)} \right\}
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