The number of ordered pairs

Question:

The number of ordered pairs $(\mathrm{r}, \mathrm{k})$ for which

$6 \cdot{ }^{35} \mathrm{C}_{\mathrm{r}}=\left(\mathrm{k}^{2}-3\right) \cdot{ }^{36} \mathrm{C}_{\mathrm{r}+1}$, where $\mathrm{k}$ is an integer, is :

  1. 3

  2. 2

  3. 4

  4. 6


Correct Option: , 3

Solution:

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