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Math Help - Considering a set 'G' proove the number of possible parallelograms

  1. #1
    Junior Member
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    Jul 2011
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    Considering a set 'G' proove the number of possible parallelograms

    Hello, struggling sooo much with this question
    I hav made an attempt but honestly dont know how to prove the actually 2011^2


    Consider the set
    G of 2011^2 points (p, q) in the plane where p and q are both integers
    between 1 and 2011 inclusive. Let
    A be any subset of G containing at least 4×2011×square root of 2011
    points. Show that there are at least 2011^2
    parallelograms whose vertices lie in A and all
    of whose diagonals meet at a single point.

    Help would b great.
    Cheers
    I apologise for forgetting to put the 'to the power of' symbols in.

    Last edited by pikachu26134; July 26th 2011 at 02:48 PM. Reason: Missed out symbols
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  2. #2
    Junior Member
    Joined
    Jul 2011
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    Re: Considering a set 'G' proove the number of possible parallelograms

    i sat down to try this question again, ive seen similar equations but just can't apply the methods, this one seems slightly different. Any help?
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