Suppose an ice cream store carries the following flavors: Apple (a), Brownie Batter(b), Death by Chocolate (d), and Enigma flavor (e). Suppose that you make choices as follows:

If available, you choose Enigma flavor.

You choose Brownie batter anytime that Apple is available.

You only choose Apple only when your choice is between Apple and Enigmaflavour.

You choose Death by Chocolate whenever Enigma flavor is not available, but only when Enigma flavor is not available.

Question: What is your choice correspondence? Does it satisfy ? Does it satisfy ? For each of these axioms, if you answer yes, explain why; if you answer no, show an instance of the axiom's violation.

c({a, b}) ={ }

c({a, d}) ={ }

c({a, e}) ={ }

c({b, d}) ={ }

c({b, e}) ={ }

c({d, e}) ={ }

c({a, b, d}) ={ }

c({a, b, e}) ={ }

c({b, d, e}) ={ }

c({a, d, e}) ={ }

c({a, b, d, e}) ={ }