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? | 192 ways (b) In how many ways can components be selected if both the receiver and the compact disc player are to be Sony? 12 ways (c) In how many ways can components be selected if none is to be Sony? 81 ways (d) In how many ways can a selection be made if at least one Sony component is to be included? 27 (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
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? | 192 ways (b) In how many ways can components be selected if both the receiver and the compact disc player are to be Sony? 12 ways (c) In how many ways can components be selected if none is to be Sony? 81 ways (d) In how many ways can a selection be made if at least one Sony component is to be included? 27 (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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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I need help with D and E
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?
192
ways
(b) In how many ways can components be selected if both the receiver and the compact disc player are to be Sony?
12
ways
(c) In how many ways can components be selected if none is to be Sony?
81
ways
(d) In how many ways can a selection be made if at least one Sony component is to be included?
27
(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
Expert Solution
Step 1 : Inroduction
Combination :
A combination is a mathematical technique for determining the number of potential arrangements in a set of things where the order of the items is irrelevant. Put the things in whatever order as like in a combination.
Permutations and combinations can be confused.
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