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. Receiver: Kenwood, Onkyo, Sony, Sherwood Compact disc player: Onkyo, Pioneer, Sony, Technics Speakers: Boston, Infinity Turntable: Onkyo, Sony, Teac, Technics A switchboard display in the store allows a customer to hook together any selection of components (consisting of one of each type). Use the product rules to answer the following questions. (a) In how many ways can one component of each type be selected? 192 X ways (b) In how many ways can components be selected if both the receiver and the compact disc player are to be Sony? 12 X ways (c) In how many ways can components be selected if none is to be Sony? 81 X ways

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