After jack climbed the beanstalk and reached the land of the giants, he discovered that each giant belonged to one
of two clans, the clan of the liars or the clan of the truthtellers. every statement made by a liar is false; every
statement made by a truthteller is true.
a. jack meets a giant husband and wife. he asks the wife, "are you and your husband liars? " she answers, "at least
one of us is." to which clan does each belong? explain clearly how jack can determine the answer.
b. on yet another occasion, jack meets three giants. the first giant declared, "all three of us are liars." the second
giant said, "only two of us are liars." the third insisted, "only one of us is a liar." to which clan does each belong?
explain clearly how jack can determine the answer.