Suppose that A\displaystyle {A} and B\displaystyle {B} are sets such that AB={3,6}\displaystyle {A}\cap{B}={\left\lbrace{3},{6}\right\rbrace} and AB={1,2,3,6,8}\displaystyle {A}\cup{B}={\left\lbrace{1},{2},{3},{6},{8}\right\rbrace}. How many different sets are possible for A\displaystyle {A}?