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JEE Main 2021 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 4 August 2021, Shift 2, Maths Q64

Question 64 of 90 in this shift, Maths question 4 of 30, Section A.

If

C_r

(

r=0,1,2,\ldots,11

) are the Binomial coefficients in the expansion of

(1+x)^{11}

, then the value of

C_0+(C_0+C_1)+(C_0+C_1+C_2)+\ldots..+(C_0+C_1+\ldots.+C_{11})

is

(1) $13.2^{10}$ Official answer
(2) $13.2^{11}$
(3) $23.2^{10}$
(4) $23.2^{11}$

Official answer

Option 1

NTA final key.

Chapter: Binomial Theorem
Topic: Binomial Coefficients
Idea tested: Double Summation of Coefficients

Same idea in other shifts

Asked 2× in all

26 Jul 2022, Shift 2 · Q4 $\sum_{\substack{i,j=0\\ i\neq j}}^{n}{}^nC_i\,{}^nC_j$ is equal toMediumSingle correct

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.