Suppose a group is trying to decide between 3 alternatives: A, B, and C. Using some voting rule the group ranks the three alternatives and we can see that they prefer alternative A over alternative B. Then, the group is presented the same three alternatives (A, B and C) as well as a 4th alternative D. The voters’ individual preferences have not changed. However when the voting rule is used to rank the four alternatives we find that the group prefers B over A. Tell me which of Arrow’s assumptions was violated and carefully explain why.