JEE Advance - Mathematics (2000 - No. 18)

For $$2 \le r \le n,\,\,\,\,\left( {\matrix{ n \cr r \cr } } \right) + 2\left( {\matrix{ n \cr {r - 1} \cr } } \right) + \left( {\matrix{ n \cr {r - 2} \cr } } \right) = $$
$$\left( {\matrix{ {n + 1} \cr {r - 1} \cr } } \right)$$
$$2\left( {\matrix{ {n + 1} \cr {r + 1} \cr } } \right)$$
$$2\left( {\matrix{ {n + 2} \cr r \cr } } \right)$$
$$\left( {\matrix{ {n + 2} \cr r \cr } } \right)$$

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