4 marks) The set of alternatives is X={a,b,c,d}. Mary has had to make decisions over the following subsets {a,b},{b,c,d},{a,c},{b,c}. Her choices are: C({a,b})={a},C({b,c,d})={b,d},C({a,c})={a},C({b,c})={b}. (2 marks) Argue whether or not Mary's choice function satisfies the weak axiom. (2 marks) Either find preferences that will generate these choices, or show that no preferences generate these choices