JEE Main 2020MathematicsBinomial TheoremMediumNumerical

JEE Main 2020 — Binomial Theorem Question with Solution

JEE Main 2020 (05 Sep Shift 2)

Question

The coefficient of x4 in the expansion of 1+x+x2+x36 in powers of x, is …..

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Show full solutionCorrect answer: 120
Correct answer
120

Step-by-step explanation

1+x+x2+x36=1+x61+x26

Coefficient of x4=C46+C26·C16+C26=15+15·6+15=120.

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About this question

This is a previous-year question from JEE Main 2020, 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.