The sum of the series.... | JEE Main 2025 | Binomial Theorem

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JEE MAIN_2025

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The sum of the series $2 \times 1 \times^0 \mathrm{C}_4-3 \times 2 \times^0 \mathrm{C}_5+4 \times 3 \times^{20} \mathrm{C}_6-5 \times 4 \times^0 \mathrm{C}_7+\cdots \cdots+18 \times 17 \times^0 \mathrm{C}_{20}$, is equal to $\_\_\_\_$

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