($$2015$$ National Mathematical Olympiad of Singapore, Special Round, Question \#$$18$$)\hspace{0pt}\hspace{0pt}  In the following equation, each letter represents a distinct digit.  $$5 \times \overline{ABCDEF}=6 \times \overline{EFABCD}$$  Given that $$B=2$$ and $$D=0$$, find the $$4-digit$$ number $$``FACE''$$. 
Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (horizontal forms)