Matematika A - 2016. ljeto, 22.2.

22.2. Izračunajte koliko je$ \left(\begin{array}{c}100 \\ 0\end{array}\right) \cdot 2^{100}-\left(\begin{array}{c}100 \\ 1\end{array}\right) \cdot 2^{99}+\left(\begin{array}{c}100 \\ 2\end{array}\right) \cdot 2^{98}-\ldots+\left(\begin{array}{c}100 \\ 98\end{array}\right) \cdot 2^{2}-\left(\begin{array}{c}100 \\ 99\end{array}\right) \cdot 2+\left(\begin{array}{c}100 \\ 100\end{array}\right) $