JEE Main 2020MathematicsBinomial TheoremHardMCQ

JEE Main 2020 — Binomial Theorem Question with Solution

JEE Main 2020 (03 Sep Shift 1)

Question

The value of (2⋅1P0−3⋅2P1+4⋅3P2−........ up to 51th term)+( 1!−2!+3!−....... up to 51th term) is equal to 

Choose an option

Show full solutionCorrect option: C
Correct answer
C1+52!

Step-by-step explanation

2·P01=2×1!1!=2!

3·P12=3×2!1!=3!

4·P23=4×3!1!=4!

By this observation given question can be written as

=2!-3!+4!-5!+.......-51!+52!+1!-2!+3!-4!+......-50!+51!

=1!+52!=1+52!

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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.