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Math Help - sum of a series

  1. #1
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    sum of a series

    I have a problem finding the sum of the series.
    It goes something like this:

    (nC0)^2 + (nC1))^2 + (nC2))^2 + ... + (nCn)^2

    ( I believe I have solved a similar problem, that went as so:

    nC0 + nC1 + nC2 + ... + nCn and got 2^n )

    anyones assistance would be a great help. Thankyou,
    riptorn70
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  2. #2
    MHF Contributor
    Opalg's Avatar
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    Hint: In the identity (1+x)^{2n} = (1+x)^n(1+x)^n, use the binomial expansion to find the coefficient of x^n on both sides.
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