JEE Main 2017MathematicsBinomial TheoremHardMCQ

JEE Main 2017Binomial Theorem Question with Solution

JEE Main 2017 (02 Apr)

Question

The value of 21C1-10C1+21C2-10C2+21C3-10C3+21C4-10C4++21C10-10C10 is

Choose an option

Show full solutionCorrect option: D
Correct answer
D220-210

Step-by-step explanation

We have,

21C1-10C1+21C2-10C2+21C3-10C3+21C4-10C4++21C10-10C10 

=21C1+ 21C2+ 21C3++ 21C10-10C1+10C2+10C3++10C10 

=1221C1+21C2+21C3++21C10+21C11++21C20-210-1

=12221-2-210-1

=220-1-210+1

=220-210.

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About this question

This is a previous-year question from JEE Main 2017, 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.