Discrete Math

. This problem deals with seating arrangements around a circular table. The assumption for all of these problems is that all seats are equivalent That is, there is no special seat that represents the \"head of the table\". If we seat a group of people around a circular table, that is an arrangement If we then rotate everyone say one seat to the left or four seats to the right. that is considered the same arrangement a. How many ways can we seat 12 people around a circular table? b. How many ways can we seat six men and six women around a circular table if the men and women are to sit in alternate seats? c. How many ways can we seat 12 people around a circular table if there is a group of three people who insist on sitting together (in any order]