JEE Main 2021 · 24 February · evening · Numerical answer · +4 / −0

For integers n and r, let ( n; r ) = { ⁿCᵣ,, if n ≥ r ≥ 0; 0,, otherwise The maximum value of k for which the sum Σᵢ₌₀ᵏ ( 10; i )( 15; k - i ) + Σᵢ₌₀ᵏ⁺¹ ( 12; i )( 13; k + 1 - i ) exists, is equal to _________.

Answer and solution

Answer 12

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Asked about 200 times in JEE Main since 2020. This question is from 2021.