Four men and four women are shipwrecked on a tropical island. How many ways can they

(a) Form four male–female couples,

(b) Get married if we keep track of the order in which the weddings occur,

(c) Divide themselves into four unnumbered pairs,

(d) Split up into four groups of two to search the North, East, West, and South shores of the island,

(e) Walk single file up the ramp to the ship when they are rescued,

(f) Take a picture to remember their ordeal if all eight stand in a line but each man stands next to his wife?