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, 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:
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 cd player are to be sony?
C. In how many ways can components be selected if noneis to be sony?
D. In how many ways can a selection be made if at leastone sony component is to be included?
E. If someone flips the switches on the selection in acompletely random fashion, what is the probability that the systemselected contains at least one sony component?

Step-by-step explanation:

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, 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:

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 cd player are to be sony?

C. In how many ways can components be selected if noneis to be sony?

D. In how many ways can a selection be made if at leastone sony component is to be included?

E. If someone flips the switches on the selection in acompletely random fashion, what is the probability that the systemselected contains at least one sony component?

if the probability is 1/12, 75 people will receive a $25 gift card

step-by-step explanation:

14

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