<s>[INST] A tranquil lake reflects the beauty of an unique rocky mountain directly across from it. The mountain is divided into distinct sections where each section has its own unique assortment of colored rocks that make up its facade. There are A red, B blue, C green, D violet, and E yellow sections. Since the reflections of these sections in the lake are perfect, each section is reflected onto itself (i.e., red reflects onto red, blue onto blue, etc.).

Suppose that the reflection in the lake has the following properties:
- A and E are/light up at the same time every day (A=E in frequency).
- C and D never light up at the same time (C ≠ D).
- At least one of B or C is always lit.

What possible combinations of ordered pairs exist for B and C, such that no ordered pair is symmetrical with another (that is, even if B is paired with C in one ordered pair, B cannot be paired with C in another ordered pair)?[/INST]