Question

Gíup mk vs

Answer 1

theo đề bài ta có \(n\ge4\)

\(C^2_2.C_{n-2}^2=2.C_{n-2}^4\Leftrightarrow\dfrac{\left(n-2\right)!}{2!\left(n-4\right)!}=\dfrac{2.\left(n-2\right)!}{4!.\left(n-6\right)!}\)

\(\Leftrightarrow6\left(n-2\right)\left(n-3\right)=\left(n-2\right)\left(n-3\right)\left(n-4\right)\left(n-5\right)\)

\(\Leftrightarrow6=n^2-9n+20\) \(\Leftrightarrow\left[{}\begin{matrix}n=2\left(\text{loại}\right)\\n=7\end{matrix}\right.\)