1. 6 friends go to the movies and sit in adjoining seats in one row. The theater is configured so that in any row there is a wall, 6 seats, an aisle, 6 more seats, and then a wall.

a) How many ways can they sit if Jane and Mary refuse to sit next to each other?

b) How many ways can they sit if Jane and Mary refuse to sit next to each other and John refuses to sit on an end.

c) How many ways can they sit of they forget their differences and sit by alternating gender (Susan, Todd, Jake).