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Solution
Here,
\[\begin{bmatrix}2 & 4 \\ 4 & 3\end{bmatrix}\binom{n}{1} = \binom{8}{11}\]
\[ \Rightarrow \binom{2n + 4}{4n + 3} = \binom{8}{11}\]
\[ \Rightarrow 2n + 4 = 8 \]
\[ \Rightarrow 2n = 4\]
\[ \Rightarrow n = 2\]
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