NVAMediumJEE Main 2025 · 7 April, Shift 2Simple Applications

Mathematics Question from JEE Main 2025 · 7 April, Shift 2

The sum of the series 2×1×20C43×2×20C5+4×3×20C65×4×20C7++18×17×20C202 \times 1 \times {}^{20}C_4 - 3 \times 2 \times {}^{20}C_5 + 4 \times 3 \times {}^{20}C_6 - 5 \times 4 \times {}^{20}C_7 + \dots + 18 \times 17 \times {}^{20}C_{20}, is equal to

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