$\frac{4!}{2!}=\frac{4\cdot3\cdot2\cdot1}{2\cdot1}=\;4\cdot3\;=12$

$\frac{4!}{2!}=\frac{4\cdot4}{2\cdot2}=\frac{16}4=4$

$\frac{4!}{2!}=\frac{4\cdot3}{2\cdot1}\;=\;\frac{12}2=6$

$\frac{4!}{2!}=\frac{4\cdot1}{2\cdot1}\;=\:2$

$\frac{9!}{5!}=\frac{9\cdot8\cdot7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1}{5\cdot4\cdot3\cdot2\cdot1}=\frac{9\cdot8\cdot7\cdot6}1=3024$

$\frac{9!}{5!}=\frac{9\cdot5}{5\cdot4}=\frac94$

$\frac{9!}{5!}=\frac{9\cdot8}{5\cdot4}=\frac{9\cdot2}{5\cdot1}=\frac{18}5$

$\frac{9!}{5!}=\frac{9\cdot9}{5\cdot5}=\frac{81}{25}$

$\frac{5!\cdot7!}{8!}=\frac{(5\cdot4\cdot3\cdot2\cdot1)\cdot(7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1)}{8\cdot7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1}=\frac{5\cdot4\cdot3\cdot2\cdot1}8=\frac{5\cdot3\cdot1}1=15$

$\frac{5!\cdot7!}{8!}=\frac{5\cdot5\cdot7\cdot7}{8\cdot8}=\frac{1225}{64}$

$\frac{5!\cdot7!}{8!}=\frac{5\cdot4\cdot7\cdot6}8=\frac{5\cdot4\cdot7\cdot6}8=\frac{5\cdot1\cdot7\cdot6}2=105$

$\frac{5!\cdot7!}{8!}=\frac{5\cdot8\cdot7\cdot8}{8\cdot8}=\frac{5\cdot7}1=35$

$\frac{2!\cdot3!}{9!}=\frac{2\cdot1\cdot3\cdot2\cdot1}{9\cdot8\cdot7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1}=\frac{2\cdot1}{9\cdot8\cdot7\cdot6\cdot5\cdot4}=\frac1{9\cdot8\cdot7\cdot6\cdot5\cdot2}=\frac1{30240}$

$\frac{2!\cdot3!}{9!}=\frac{2\cdot3}{9\cdot1}=\frac69=\frac23$

$\frac{2!\cdot3!}{9!}=\frac{2\cdot2\cdot3\cdot3\cdot3}{9\cdot9\cdot9\cdot9\cdot9}=\frac{2\cdot2\cdot1}{9\cdot9\cdot9\cdot3}=\frac4{2187}$

$\frac{2!\cdot3!}{9!}=\frac{2\cdot3}{9\cdot8\cdot7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1}=\frac1{9\cdot8\cdot7\cdot6\cdot5\cdot4}=\frac1{60480}$