Radar detectors are either powered by their own battery or plug into the cigarette lighter socket. All radar detectors come in three models: no-frills, standard, and fancy. In addition, detectors powered by their own batteries detect either radar or laser, or both, whereas the plug-in types come in models that detect either radar or laser, but not both. How many different radar detectors can you buy? ------------------------------------ choices

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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 Radar detectors are either powered by their own battery or plug into the cigarette lighter socket. All radar detectors come in three models: no-frills, standard, and fancy. In addition, detectors powered by their own batteries detect either radar or laser, or both, whereas the plug-in types come in models that detect either radar or laser, but not both. How many different radar detectors can you buy?
------------------------------------ choices
Expert Solution
Step 1

The Process of Buying a radar detector can be presented as the following algorithms.


Step1
Choose select the model (no frills, Standard & famly There Hence there are 3 Possible Choices.
Step 2

Choose the way you want the detector to be power

Alternative 1: own Battery
There are 3 choices (detect either radar, or laser or both)

Alternative 2: cigrette lighter socket

There are 2 choices (detect either radar or laser not both)
According to Addition Principle:

There are 3+2=5 choices.
Finally according to multiplication Principle there are 3x5 = 15

 

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