Example 1-27 (1) There are 12 people divided into two tables, with 6 people at each table, sitting around a round table. How many seating arrangements are there? (2) If there are 12 couples divided equally into two tables, sitting around a round table, how many arrangements are there?
(1) According to the multiplication principle, choosing 6 people from 12 to form groups and arrange them around a round table, hence $C(12,6)(5!)^{2}$.
(2) $C(12,6)\left(5!2^{6}\right)^{2}$.