Left?

Algebra Level 5

\[\large{S=\left(\begin{matrix} 2015 \\ 2 \end{matrix} \right) +2\left( \begin{matrix} 2015 \\ 5 \end{matrix} \right) +\cdots \cdots \cdots \cdots +672\left( \begin{matrix} 2015 \\ 2015 \end{matrix} \right) }\]

Let \(S\) represent the finite summation above, Find the \(21^{st}\) digit from left.

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