For how many ordered pairs (A,B) where A and B are positive integers is AAA base 7 + BBB base 7 = 666 base 7?
\((49+7+1)(A+B)= (49+7+1)6\\~\\ A+B=6,~A,B \in \{1,\dots, 6\}\\~\\ (A,B) = (1,5),(2,4),(3,3),(4,2),(5,1)\)
