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JEE MATHEMATICS MCQ: PERMUTATIONS

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Application +4 | -1
If nCr−1=(k2−8)(n+1Cr){ }^n C_{r-1}=\left(k^2-8\right)\left({ }^{n+1} C_r\right), then kk belongs to
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Correct option: C
[−3,−22)∪(22,3][-3,-2 \sqrt{2}) \cup(2 \sqrt{2}, 3]
Option C ([-3,-2 2\sqrt{2}) ∪(2 2\sqrt{2}, 3]) is correct because it correctly determines the range of k based on the given condition and the properties of combinations.

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