Solve using propositional logic there are two rooms: a and b$.$ each room has a sign. sign at room a: $$there is a lady in room a$,$ and a tiger in room b$.$ sign at room b: $$there is a lady in one room, and a tiger in another room.$$ assume that: exactly one sign is true and another sign is false. exactly one thing $($lady or tiger$)$ in each room. determine which room contains what?