$P(F) = \frac{\displaystyle {8 \choose 3} \cdot {4 \choose 1} }{\displaystyle {12 \choose 4}} = \frac{\displaystyle 224} {\displaystyle 495}$

i want that to be in the center of my document, how would i go abouts centering this?

.. it wouldnt work with the math brackets.. Im too noob.. anyways, i dont get on latex how to like centre equations using the arrays and stuff could someone take a minute to explain?