First, let's understand the difference of each type of circuit, by sketching an example for each one:
Series circuit:
In a series circuit, all the components are one after the other, and there is only one loop and one current flowing through all components.
Open circuit:
There is a "gap" on the circuit, and no current can flow between the components (IT = 0).
Parallel circuit:
There is one common point connecting one end of each component and another common point connecting another end of each component.
Because of that, all components have the same voltage and there are several paths for the current (the total current is divided).
A Closed Circuit is any circuit that is not open, that is, there is current flowing.
Therefore a circuit where there are several paths for the current is a parallel circuit.
Correct option: C.