What is the difference between a failure, an error and a fault in distributed systems? $(2$ points$)$

$($a$)$ A failure means that a component is not living up to its specification, an error is part of a component that leads to a failure, and a fault represents the cause that produced the error.

$($b$)$ A fault means that a component is not living up to its specification, an error is part of a component that leads to a fault, and a failure represents the cause that produced the error.

$($c$)$ A failure means that a component is not living up to its specification, a fault is part of a component that leads to a failure, and an error represents the cause that produced the fault.

$($d$)$ An error means that a component is not living up to its specification, a failure is part of a component that leads to an error, and a fault represents the cause that produced the failure.