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a)
![C^{n+1}_{2n}:C^{n-1}_{2n+1}= frac{(2n)!}{(n+1)!cdot (2n-n-1)!}cdot frac{(n-1)!cdot (2n+1-n+1)!}{(2n+1)!}= frac{n+2}{2n}. \ \ frac{n+2}{2n}= frac{7}{13} \ \ 13(n+2)=2ncdot 7 \ \ n=26 C^{n+1}_{2n}:C^{n-1}_{2n+1}= frac{(2n)!}{(n+1)!cdot (2n-n-1)!}cdot frac{(n-1)!cdot (2n+1-n+1)!}{(2n+1)!}= frac{n+2}{2n}. \ \ frac{n+2}{2n}= frac{7}{13} \ \ 13(n+2)=2ncdot 7 \ \ n=26](https://tex.z-dn.net/?f=C%5E%7Bn%2B1%7D_%7B2n%7D%3AC%5E%7Bn-1%7D_%7B2n%2B1%7D%3D+frac%7B%282n%29%21%7D%7B%28n%2B1%29%21cdot+%282n-n-1%29%21%7Dcdot++frac%7B%28n-1%29%21cdot+%282n%2B1-n%2B1%29%21%7D%7B%282n%2B1%29%21%7D%3D+frac%7Bn%2B2%7D%7B2n%7D.+%5C++%5C+frac%7Bn%2B2%7D%7B2n%7D%3D+frac%7B7%7D%7B13%7D+++%5C++%5C+13%28n%2B2%29%3D2ncdot+7+%5C++%5C+n%3D26)
б)
![C^{n}_{2n-1}:C^{n-1}_{2n}= frac{(2n-1)!}{n!cdot (2n-1-n)!}cdot frac{(n-1)!cdot (2n-n+1)!}{(2n)!}= frac{n+1}{2n}. \ \ frac{n+1}{2n}= frac{9}{17} \ \ 17(n+1)=2ncdot 9 \ \ n=17 C^{n}_{2n-1}:C^{n-1}_{2n}= frac{(2n-1)!}{n!cdot (2n-1-n)!}cdot frac{(n-1)!cdot (2n-n+1)!}{(2n)!}= frac{n+1}{2n}. \ \ frac{n+1}{2n}= frac{9}{17} \ \ 17(n+1)=2ncdot 9 \ \ n=17](https://tex.z-dn.net/?f=C%5E%7Bn%7D_%7B2n-1%7D%3AC%5E%7Bn-1%7D_%7B2n%7D%3D+frac%7B%282n-1%29%21%7D%7Bn%21cdot+%282n-1-n%29%21%7Dcdot++frac%7B%28n-1%29%21cdot+%282n-n%2B1%29%21%7D%7B%282n%29%21%7D%3D+frac%7Bn%2B1%7D%7B2n%7D.+%5C++%5C+frac%7Bn%2B1%7D%7B2n%7D%3D+frac%7B9%7D%7B17%7D+++%5C++%5C+17%28n%2B1%29%3D2ncdot+9+%5C++%5C+n%3D17)
б)
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