Union
$$A \cup B =$$
{ archery, calligraphy, chariotry, interpret, mathematics, music, organize, rites, select, stimulus }
Symmetric Difference
$$A \ominus B =$$
{ archery, calligraphy, chariotry, interpret, mathematics, music, organize, rites, select, stimulus }
Difference
$$A - B =$$
{ archery, calligraphy, chariotry, mathematics, music, rites }
Cartesian Product
$$A \times B =$$
{ (archery, interpret),
(archery, organize),
(archery, select),
(archery, stimulus),
(calligraphy, interpret),
(calligraphy, organize),
(calligraphy, select),
(calligraphy, stimulus),
(chariotry, interpret),
(chariotry, organize),
(chariotry, select),
(chariotry, stimulus),
(mathematics, interpret),
(mathematics, organize),
(mathematics, select),
(mathematics, stimulus),
(music, interpret),
(music, organize),
(music, select),
(music, stimulus),
(rites, interpret),
(rites, organize),
(rites, select),
(rites, stimulus) }