$$\overline{ABCD}$$ represents a $$4$$-digit number, and $$\overline{EFG}$$~ represents a $$3$$-digit number. $$A-G$$ each represents a different number from $$1$$ to $$9$$. Given that the sum of these two numbers is $$1993$$, find the difference between the largest possible product and the least possible product of these two numbers. 
Overseas Competition->Knowledge Point->Combinatorics->Combinatorics Involving Extreme Values->Extreme Value with Fixed Sums Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations