(a) in how many di erent ways can twelve people be seated at two
round tables with six people at each table, if two seatings are
considered to be di erent exactly when some person has a different
person seated to his or her right in the two seatings? give your
answer as an integer in ordinary decimal notation.
(b) generalize part (a) to determine a formula (involving standard
counting functions) in the variable n for the number of di erent
ways in which 6n people can be seated at n round tables, with six
people at each table and the same notion of \di erent" as in part
(a).