I wouldn't risk expanding the terms!

\[\begin{pmatrix} 5 \\ 3 \end{pmatrix} + \displaystyle \sum_{k=1}^{2012} \begin{pmatrix} 2017-k \\ 2 \end{pmatrix} = \, ?\]

\(\)
Notation: \( \dbinom MN = \dfrac {M!}{N! (M-N)!}\) denotes the binomial coefficient.

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