There's a (fake) formula for this
$${{\mathtt{chuck}}}^{{\mathtt{wood}}}{\mathtt{\,-\,}}{\mathtt{rest}}$$
Where chuck = the amout of times chuck is said
wood = amount of times wood is said
rest = every other word
There are 4 chucks (c=4)
There are 4 woods (w=4)
The rest are 7 (r=7)
Therefore, the input is:
$${{\mathtt{4}}}^{{\mathtt{4}}}{\mathtt{\,-\,}}{\mathtt{7}}$$
4^4 = 4*4*4*4 = 16*16 = 256
256-7 = 249
The wood chuck can chuck 249 woods.