Calculate the value of: $$\dfrac{8!\cdot3!}{9!\cdot4!}$$
See development and solution
Development:
$$$\dfrac{8!\cdot3!}{9!\cdot4!}=\dfrac{\cancel{8!}\cdot\cancel{3!}}{9\cdot\cancel{8!}\cdot4\cdot\cancel{3!}}=\dfrac{1}{9\cdot4}=\dfrac{1}{36}$$$
Solution:
$$\dfrac{1}{36}$$