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
【Analysis】Discuss in two cases: (1) If the first two pots are taken from the same side, there are $C_{2}^{1}=2$ ways to move them; (2) If they are taken from opposite sides, there are $C_{2}^{1} \times C_{2}^{1}=$ 4 ways to move them, so in total there are $2+4=6$ ways. The answer can be determined accordingly.

【Solution】According to the analysis, we get
$$
\begin{array}{l}
\mathrm{C}_{2}^{1}+\mathrm{C}_{2}^{1} \times \mathrm{C}_{2}^{1} \\
=2+4 \\
=6 \text { (ways) }
\end{array}
$$

Answer: There are 6 different ways to move the flowers.
Therefore, the correct choice is: B.