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Binary relation in a cartesian product

  1. Nov 6, 2007 #1
    How many binary relation can be formed from the cartesian product below:
    A = { 1 , 2 } & B = {a }
    i know there are two ordered pairs in this cartesian products A * B.
    i also know that there are 4 binary realtions. could someone please write
    those four relations for me, i am really confused here.
     
  2. jcsd
  3. Nov 6, 2007 #2

    HallsofIvy

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    {(1, a)}, {(2, a)}, {(a, 1)}, and {(a, 2)}.
     
  4. Nov 6, 2007 #3
    I'd imagine, they're actually something more like these: {}, {(1, a)}, {(2, a)}, and {(1, a), (2, a)}...
     
  5. Nov 9, 2007 #4
    thanx. i really apprecite u for this
     
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