Mechanical or electrical units often include several components, each of which is subject to failure. Assume that, at the specified time, we observe a unit that includes five components and determine which are working and which have failed.
Considering the random experiment of observing the mechanical or electrical unit consisting of five components and find out which components are working and which have failed. Employ the basic counting rule to determine the possible outcomes:
a) for this random experiment
b) in which exactly one of the 5 components is not working
c) in which at least one of the 5 components is not working
d) in which at most one of the 5 components is not working