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$\\ .\,\,\,\,\,\, \frac{(n-2)!}{n-4!}=20 \\ \\ \leftrightarrow \frac{(n-2)(n-3)(n-4)!}{(n-4)!}=20 \\ \\ \leftrightarrow \frac{(n-2)(n-3)}{1}=20 \\ \\ \leftrightarrow (n-2)(n-3)=20 \\ \leftrightarrow n^2-5n+6=20 \\ \leftrightarrow n^2-5n-14=0 \\ \leftrightarrow (n+2)(n-7)=0 \\$

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