Final answer:
Toll-like receptors (TLRs) and G protein-coupled receptors are classes of receptors that do not undergo gene rearrangement.
Step-by-step explanation:
The classes of receptors that do not undergo gene rearrangement are Toll-like receptors (TLRs). Neither B-cell receptors (BCRs) nor T-cell receptors (TCRs) fall into this category as they both require gene rearrangement to generate the diversity needed for the adaptive immune system to recognize various antigens. Conversely, TLRs are part of the innate immune system and recognize common patterns in pathogens without needing gene rearrangement. Moreover, G protein-coupled receptors are another class that does not involve gene rearrangement as they function in many different physiological processes by responding to a wide range of stimuli.