Chapter 1.2, Problem 18E

Suppose that inExample 7there are treasures in two of the three trunk. The inscriptions Trunks 1, 2, and 3 are “This trunk is empty,” “There a treasure in Trunk 1," and "There is a treasure in Trunk 2.” For of these statements, determine whether the Queen who never lies could state this, and if so, which two trunks the treasures are in.

a) “All the inscriptions are fake."

b) “Exactly one of the inscriptions is true.”

c) "Exactly of the inscriptions are true."

d) “All three inscription are true.”