A stereo store is offering a special price on a complete set of components (receiver, compact disc player, speakers, curntable). 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, Polk 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? |ways (b) In how many ways can components be selected if both the receiver and the compact disc player are to be Sony? | ways (c) In how many ways can components be selected if none is to be Sony? | ways
A stereo store is offering a special price on a complete set of components (receiver, compact disc player, speakers, curntable). 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, Polk 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? |ways (b) In how many ways can components be selected if both the receiver and the compact disc player are to be Sony? | ways (c) In how many ways can components be selected if none is to be Sony? | ways
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 52SE: A car wash offers the following optional services to the basic wash: clear coat wax, triple foam...
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Transcribed Image Text: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, Polk
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?
ways
(b) In how many ways can components be selected if both the receiver and the compact disc player are to be Sony?
| ways
(c) In how many ways can components be selected if none is to be Sony?
ways
(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? (Round your answer to three decimal
places.)
at least one Sony component
exactly one Sony component
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