JEE Advanced 2018 Paper 2 Mathematics Q14

Mathematics

Problem

Let X = (¹⁰C₁)² + 2(¹⁰C₂)² + 3(¹⁰C₃)² + ⋯ + 10(¹⁰C₁₀)², where ¹⁰Cᵣ, r ∈ {1, 2, ⋯, 10} denote binomial coefficients. Then, the value of X/1430 is _____.

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