What are the two simplest associations of capacitors and what is their property?

The two simplest associations of capacitors are in series and in parallel.
The property of these associations is that they can be simplified into a single equivalent capacitor that performs the same functions as the entire system together.
In series, the total charge is the same for all capacitors, while in parallel, the total voltage is the same for all capacitors.
In series, the equivalent capacitance is given by the formula 1/Ceq = 1/C1 + 1/C2 + ... + 1/Cn, while in parallel, the equivalent capacitance is given by the formula Ceq = C1 + C2 + ... + Cn.