JEE Main 2023MathematicsBinomial TheoremMediumMCQ

JEE Main 2023 — Binomial Theorem Question with Solution

JEE Main 2023 (01 Feb Shift 1)

Question

The value of

11!50!+13!48!+15!46!+….+149!2!+151!1! is 

Choose an option

Show full solutionCorrect option: B
Correct answer
B25051!

Step-by-step explanation

Let

S=11!·50!+13!·48!+15!·46!+....+151!·1!

⇒S=151!51!1!·50!+51!3!·48!+51!5!·46!+....+51!51!·0!

⇒S=151!C151+C351+C551+....+C5151

⇒S=251-151!

⇒S=25051!

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About this question

This is a previous-year question from JEE Main 2023, 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.