Logician raymond smullyan describes the island of knights and knaves as pop ulated by two kinds of people: those who always lie (knaves) and those who always tell the truth (knights). imagine that you are visiting the island and you meet three of its inhabitants, conveniently named a, b and c for each of the following items, determine whether a, b, and c could make the statements attributed to them. if they could make the statements, determine all the assignments of types (knight knave) to a, b, and c in which the list of statements is possible. justify or your answers. (a) a says "b and c are "no, that is not correct! " knights." c says knights." b says "that is correct, c and i are (b) a says "b and i are knaves." b says "i am not a knave! " c says "not all of us are knaves." (c) a says "there are an odd number of knights among us." b says "both a and i are knights." c says "no, both a and b are knaves." (d) a says "exactly two of us are "not all of us are of the same type." knights." b says "exactly two of us are knaves." c says type." c says (e) a says "if i am a "a and b are of opposite types." knave, then so is b." b says "a and c are of the same