2. (10 points) As shown in the figure, Han Mei has 2 pots of flowers on each side of her house. Each time, Han Mei moves one pot of flowers into her house according to the following rules: first choose the left or right side, then move the pot closest to the house on that side. To move all the flowers into the house, there are ( ) different moving sequences.
A. 4
B. 6
C. 8
D. 10