There are three routes from a person's home to her place of work. There are four parking lots where she works, three entrances into her building, two elevators to her floor, and one route from each elevator to her office door.

a) How many ways can she go from her home to her office?

b) If she makes her various choices at random, what is the probability that she will take Morningside Drive, park in lot A, use the south entrance, and take elevator 1?

c) As she starts her car one morning, she recalls parking lots A and B are closed for repair. What is the probability that she will take Industrial Avenue, park in lot D, use the north entrance, and take elevator 2?