A nuclear power plant has double redundancy on the feedwater pumps used to remove heat from the reactor core. A safely operating plant requires only one of the three pumps to be functional. Define the events $A,B,$ and $C$ as follows:

A: Pump $1$ works properly

B: Pump $2$ works properly

C: Pump $3$ works properly

Describe in words the following events by typing your answers below directly.

The intersection of $A,B,$ and $C$

The union of $A,B,$ and $C$

The complement of the intersection of $A,B,$ and $C$

The complement of the union of $A,B,$ and $C$