Determine whether the given set is the power set of some set. If the set is a power set, give the set of which it is a power set. a. {?,{?},{a},{{a}},{{{a}}},{?,a},{?,{a}},{?,{{a}}},{a,{a}},{a,{{a}}} {{a},{{a}}},{?,a,{a}},{?,a,{{a}}},{?,{a},{{a}}},{a,{a},{{a}}},{?,a, {a},{{a}}}} b. {?,{a}} c. {?,{a},{?,a}} Prove that A?(B?C)=(A?B)?(A?C) Prove that (Sc?Tc)c=S?T for all sets S and T