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Mathematical Induction and Binomial Theorem question

2018 · Shift 2 · Q32

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JEE Advanced
Mathematics
Mathematical Induction and Binomial Theorem
2018 · Shift 2 · Q32

Mathematical Induction and Binomial Theorem question

2018 · Shift 2 · Q32

JEE AdvancedMathematicsMathematical Induction and Binomial TheoremNumerical+3 / −1

Let

X = {({}^{10}{C_1})^2} + 2{({}^{10}{C_2})^2} + 3{({}^{10}{C_3})^2} + ... + 10{({}^{10}{C_{10}})^2}

, where

{}^{10}{C_r}

, r

\in

{1, 2, ..., 10} denote binomial coefficients. Then, the value of

{1 \over {1430}}X

is ..........

Numerical answer

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