Hi everyone, I've been trying to figure out this factoral problem and wondered if you could help. This is in a statistics class but figured the thread should be here.

$\displaystyle \frac {\left(\begin{array}{cc}q\\x\end{array}\right)\lef t(\begin{array}{cc}8-q\\2-x\end{array}\right)}

{\left(\begin{array}{cc}8\\2\end{array}\right)} $

where x=0

I have gotten to

$\displaystyle \frac {(8-q)!6!2!}{2!(6-q)!8!}$

q is an unknown variable, the answer I should get is

$\displaystyle \frac{(8-q)(7-q)}{7*8}$

and from there I can do the rest, any help?