I'm having trouble solving this problem. I'm not sure how to go about part b) and onward. Could someone please help me by explaining what must be done?
Question: At a party, four couples, are sitting along one side a table with men and women alternating.
a) How many seating arrangements are possible for these eight people?
b) How many arrangements are possible if each couple sits together? Explain your reasoning.
c) How many arrangements are possible if no one is sitting beside his or her partner?
d) Explain why the answers from parts b) and c) do not add up to the answer from part a).