More fun joy and laughter in 2015

Algebra Level 5

\[\sum _{k=1}^{2015}\frac{\left(k+2016\right)!}{\left(k-1\right)!}=\frac{\left(A\right)!}{\left(B\right)!\left(C\right)}\]

Find the value of \(A+B+C\)

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