The number of elements in the set $S=\left{\left(r,k\right):k\in Z\text{and}{}^{36}C_{r+1}=\frac{6\left({}^{35}C_{r}\right)}{{k}^{2}-3}\right}$ [JEE Main 2026, 2 Apr (Shift 1)]

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The number of elements in the set \(S=\left{\left(r,k\right):k\in Z\text{and}{}^{36}C_{r+1}=\frac{6\left({}^{35}C_{r}\ri…

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