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MathsJEE Main 2 Apr 2026, Shift 1·Q7·MCQ·Moderate

Binomial Theorem · Properties of binomial coefficients

The number of elements in the set S={(r,k):k∈Z and 36Cr+1=6(35Cr)(k2−3)},S = \left\{(r, k) : k \in \mathbb{Z} \text{ and } {}^{36}C_{r+1} = \dfrac{6\left({}^{35}C_r\right)}{(k^2 - 3)}\right\}, is
  1. (1)2
  2. (2)4
  3. (3)8
  4. (4)16

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