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

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

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

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

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

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

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

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

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

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

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

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