JEE Main 17 March 2021, Shift 2, Maths Q76

Question 76 of 90 in this shift, Maths question 16 of 30, Section A.

The value of

\sum_{r=0}^{6}\left({}^6C_r\cdot{}^6C_{6-r}\right)

is equal to :

(1) $924$ Official answer
(2) $1024$
(3) $1124$
(4) $1324$

Official answer

Option 1

NTA final key.

Chapter: Binomial Theorem
Topic: Binomial Coefficients
Idea tested: Sum of Squares of Binomial Coefficients

Same idea in other shifts

Asked 2× in all

27 Aug 2021, Shift 1 · Q80 $\sum_{k=0}^{20}\left({}^{20}C_k\right)^2$ is equal to :EasySingle 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.