The number of ordered pairs $ (r, k) $ for which $ 6 \cdot { }^{35} C_{r}= $ $ \left(k^{2}-3\right) \cdot { }^{36} C_{r+1} $, where $ k $ is is an integer, is [JEE Main 2020, 7 Jan (Shift 2)]

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The number of ordered pairs \( (r, k) \) for which \( 6 \cdot { }^{35} C_{r}= \) \( \left(k^{2}-3\right) \cdot { }^{36} …

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