JEE Main 2024 — Binomial Theorem Question with Solution
From: JEE Main 2024 (Online) 30th January Evening Shift
Question
Let \alpha=\sum_\limits{k=0}^n\left(\frac{\left({ }^n C_k\right)^2}{k+1}\right) and \beta=\sum_\limits{k=0}^{n-1}\left(\frac{{ }^n C_k{ }^n C_{k+1}}{k+2}\right) If , then equals _______.
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Show full solutionCorrect answer: 10
Correct answer
10
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This is a previous-year question from JEE Main 2024, covering the Binomial Theorem chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.