Compute for the economic question

3 (20 pts ) Consider a profile with n men and n women, where each ranks the opposite gender strictly ( preferring last choice to being single). Suppose and i are two STABLE matchings for P. Let each man point to the better of his two wives in M and I * ( if he has the same wife in both, he just points to her ) ( 9) Show that no two men will point to the same woman, So that the pointing gives a matching in . ( b) Show that I is stable for