$\left(\begin{array}{c}8\\ 2\end{array}\right)=\frac{8!}{2!\cdot 6!}=\frac{6!\cdot 7\cdot 8}{2\cdot 6!}=7\cdot 4=28$      

$\left(\begin{array}{c}10\\ 8\end{array}\right)=\frac{10!}{8!\cdot 2!}=\frac{8!\cdot 9\cdot 10}{8!\cdot 2}=9\cdot 5=45$  

$\left(\begin{array}{c}12\\ 10\end{array}\right)=\frac{12!}{10!\cdot 2!}=\frac{10!\cdot 11\cdot 12}{10!\cdot 2}=11\cdot 6=66$  

$\left(\begin{array}{c}197\\ 1\end{array}\right)=\frac{197!}{1!\cdot 196!}=\frac{196!\cdot 197}{196!}=197$  

$\left(\begin{array}{c}37\\ 36\end{array}\right)=\frac{37!}{36!\cdot 1!}=\frac{36!\cdot 37}{36!}=37$