JEE Main 2026 · MathsMultiple choiceSingle correctMediumApplication

JEE Main 2 April 2026, Shift 2, Maths Q6

Question 6 of 75 in this shift, Maths question 6 of 25, Section A.

If for

3 \le r \le 30

\binom{30}{C_{30-r}} + 3\binom{30}{C_{31-r}} + 3\binom{30}{C_{32-r}} + \binom{30}{C_{33-r}} = ^m C_r

, then

m

equals:

(1) $31$
(2) $32$
(3) $33$ Official answer
(4) $34$

Official answer

Option 3

NTA final key.

Chapter: Binomial Theorem
Topic: Binomial Coefficients
Idea tested: Pascal's Identity

Same topic in other shifts

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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 42 of the 174 JEE Main shifts held from 2017 to 2026.