Let $\left[\begin{array}{c}n\\ k\end{array}\right]$ represents the combination of 'n' things taken 'k' at a time, then the value of the sum $\left[\begin{array}{c}99\\ 97\end{array}\right]+\left[\begin{array}{c}98\\ 96\end{array}\right]+\left[\begin{array}{c}97\\ 95\end{array}\right]+...+\left[\begin{array}{c}3\\ 1\end{array}\right]+\left[\begin{array}{c}2\\ 0\end{array}\right]$ equals?

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