Aufgaben zu Binomialkoeffizienten

$\left(\begin{array}{c}14\\ 3\end{array}\right)=364$

$\left(\begin{array}{c}14\\ 3\end{array}\right)=\frac{14!}{3!\cdot (14-3)!}$

$\left(\begin{array}{c}14\\ 3\end{array}\right)=\frac{3!}{14!\cdot (3-14)!}$

$\left(\begin{array}{c}14\\ 3\end{array}\right)=\frac{14!}{3!}$

$\left(\begin{array}{c}23\\ 19\end{array}\right)=8855$

$\left(\begin{array}{c}23\\ 19\end{array}\right)={\displaystyle \frac{23!}{19!\cdot (23-19)!}}$

$\left(\begin{array}{c}23\\ 19\end{array}\right)={\displaystyle \frac{19!}{23!\cdot (19-23)!}}$

$\left(\begin{array}{c}23\\ 19\end{array}\right)={\displaystyle \frac{23!}{19!}}$

$\left(\begin{array}{c}19\\ 16\end{array}\right)={\displaystyle \frac{19!}{16!\cdot (19-16)!}}$

$\left(\begin{array}{c}19\\ 16\end{array}\right)=969$

$\left(\begin{array}{c}19\\ 16\end{array}\right)={\displaystyle \frac{19!}{16!\cdot (19!-16!)}}$

$\left(\begin{array}{c}19\\ 16\end{array}\right)={\displaystyle \frac{19!}{16!}}$