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Math Help - Sum and Modulo

  1. #1
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    Sum and Modulo

    Please help me
      $\sum\limits_{k=0}^{62}{\left( \begin{matrix}2014  \\k  \\\end{matrix} \right)}\left( \bmod 2017 \right)=....$
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  2. #2
    MHF Contributor

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    Re: Sum and Modulo

    What kind of help do you need? Do you know what " \begin{pmatrix}2014 \\ k \end{pmatrix}" means? Do you know what "(mod 2017)" means?
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  3. #3
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    Re: Sum and Modulo

    Hi,
    The answer is 1024. Here's a derivation:

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