Answer:
C) The search of the garbage and the stake-out do not violate the Fourth Amendment.
Step-by-step explanation:
The Fourth Amendment protects your property from unreasonable searches and seizures without a warrant, including your garbage as long as it is within the boundaries of your home, and not placed outside on the curb for pickup. In this case, since the garbage was left for pickup, then the Fourth Amendment doesn't apply.
The Fourth Amendment doesn't protect you against police stake-outs.