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Fair fax county mathmatics league

  1. Apr 19, 2008 #1

    This problem is very interesting.

    but,, I don't know how to solve it... T,T

    "If a<b, what are both ordered pairs of integers (a,b) which

    satisfy a ^b = b ^ a ?"
  2. jcsd
  3. Apr 19, 2008 #2


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    Science Advisor

    Yes, that is a very interesting problem. The first thing I would do is start experimenting with a and b small integers. Have you done that? If so, one of the two pairs should come immediately and the other is not too difficult to find.
  4. Apr 22, 2008 #3
    yay!!!!!!!!!!! i got it!! is it two and four????
    ah!!!! i should have got this question before..T.T anyways thank you><
  5. Apr 22, 2008 #4
    (2,4) is one of the two pairs ...
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