Three friends, jose, michael, and andrea, play a game in which each decides to be either a liar or a truth teller. a liar must always lie and a truth teller must always tell the truth. when you met your friends, you asked jose which he had chosen to be. you didn't hear his answer but michael stated, "jose said that he is a liar." andrea said, " if one of us is a liar, then we are all liars." can you determine, for each person, whether he is a liar or a truth teller?