JEE Main 2021MathematicsBinomial TheoremHardMCQ

JEE Main 2021Binomial Theorem Question with Solution

JEE Main 2021 (24 Feb Shift 1)

Question

The value of -C115+2·C215-3·15C3+.....-15·C1515+C114+C314+C514+....+C1114 is equal to

Choose an option

Show full solutionCorrect option: D
Correct answer
D213-14

Step-by-step explanation

-C115+2·C215-3·C315+-15·C1515+C114+C314++C1114

=r=115-1r·r·15Cr+C114+C314++C1114+C1314-C1314

=r=115-1r·15·Cr-114+213-14

=15-C014+C114..-C1414+213-14

=213-14

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About this question

This is a previous-year question from JEE Main 2021, 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.