A stereo store is offering a special price on a complete sat of components (rece

Question

A stereo store is offering a special price on a complete sat of components (receiver, compact disc: player, speakers, turntable). A purchaser is coffered a choice of manufacturer far each component: A switchboard display In the store allows a customer to hock to ether any selection of components (consisting of one of each type). Use the product rules to answer the following questions: In haw, many ways can one component of each type be selectee? In how many ways ran components be both the receiver and the compact disc player are the Sony? In flow many ways can components be selected if nonce is to be Sony? In how many ways can a selection the made If at least one Sony component is to be included? If someone flips switches on the selection in a completely random fashion, what is the probability that the system selected: attains at least are Sony component? Exactly cane Sony composer? (Round your answer to three dermal places.) at least one Sony component exactly one Sony component

Explanation / Answer

number of reciever = 4

number of compact disc player = 4

number of speaker = 2

number of turntabel = 4

a)

Number of ways in one component can be selected = 4 * 4 * 2 * 4 = 128

b)

if compact disc is sony then Number of ways in one component can be selected = 4 * 4 * 2 = 16

c)

number of components that can be selected if none is sony = 3 * 3 * 3 * 2 = 54

d)

number of components if atleast one sony item is choosen is = total - number of components without sony
   = 128 - 54 = 74

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