By assumption, individual preferences must be transitive so that if A is preferred to B, and B is preferred to C, then A is preferred to C. Suppose that Marsha, Jan, and Cindy individually have transitive preferences over three goods: oranges, apples, and pears. If Marsha, Jan, and Cindy were to vote on whether to name oranges, apples, or pears the "fruit of the month," show that it is possible the preferences for the group might not be transitive.