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Binomial Theorem question

2025 · 7 Apr · Shift 2 · Q46

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JEE Main
Mathematics
Binomial Theorem
2025 · 7 Apr · Shift 2 · Q46

Binomial Theorem question

2025 · 7 Apr · Shift 2 · Q46

JEE MainMathematicsBinomial TheoremNumerical+4 / −1

The sum of the series

2 \times 1 \times{ }^{20} \mathrm{C}_4-3 \times 2 \times{ }^{20} \mathrm{C}_5+4 \times 3 \times{ }^{20} \mathrm{C}_6-5 \times 4 \times{ }^{20} \mathrm{C}_7+\cdots \cdots+18 \times 17 \times{ }^{20} \mathrm{C}_{20}

, is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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