Union
$$A \cup B =$$
{ archery, calligraphy, chariotry, ego, id, mathematics, music, rites, superego }
Symmetric Difference
$$A \ominus B =$$
{ archery, calligraphy, chariotry, ego, id, mathematics, music, rites, superego }
Difference
$$A - B =$$
{ archery, calligraphy, chariotry, mathematics, music, rites }
Cartesian Product
$$A \times B =$$
{ (archery, ego),
(archery, id),
(archery, superego),
(calligraphy, ego),
(calligraphy, id),
(calligraphy, superego),
(chariotry, ego),
(chariotry, id),
(chariotry, superego),
(mathematics, ego),
(mathematics, id),
(mathematics, superego),
(music, ego),
(music, id),
(music, superego),
(rites, ego),
(rites, id),
(rites, superego) }
Id, ego and super-ego