. A stereo store is offering a special price on a complete set of components (receiver, compact
disc player, speakers, turntable). A purchaser is offered a choice of manufacturer for each
component:
A switchboard display in the store allows a customer to hook together any selection of
components (consisting of one of each type). Use the Fundamental Counting Principle to answer
the following questions:
(a) In how many ways can one component of each type be selected?
(b) In how many ways can components be selected if both the receiver and the compact disc
player are to be Sony?
(c) In how many ways can components be selected if none is to be Sony?
(d) In how many ways can a selection be made if at least one Sony component is to be
included?
(e) If someone flips switches on the selection in a completely random fashion, what is the
probability that the system selected contains at least one Sony component? Exactly one
Sony component?