A stereo store is offering a special price on a complete setof components (receiver, compact disc player, speakers,turntable). A purchaser is offered a choice of manufacturerfor each...

A stereo store is offering a special price on a complete setof components (receiver, compact disc player, speakers,turntable). A purchaser is offered a choice of manufacturerfor each component:Receiver: Kenwood, Onkyo, Pioneer, Sony, SherwoodCompact disc player: Onkyo, Pioneer, Sony, TechnicsSpeakers: Boston, Infinity, PolkTurntable: Onkyo, Sony, Teac, TechnicsA switchboard display in the store allows a customer tohook together any selection of components (consisting ofone of each type). Use the product rules to answer thefollowing questions:a. In how many ways can one component of each type beselected?b. In how many ways can components be selected if boththe receiver and the compact disc player are to be Sony?c. In how many ways can components be selected if none isto be Sony?d. In how many ways can a selection be made if at least oneSony component is to be included?e. If someone flips switches on the selection in a completelyrandom fashion, what is the probability that thesystem selected contains at least one Sony component?Exactly one Sony component?