Question

Radar detectors are either powered by their own battery or plug into the cigarette lighter socket. All radar detectors come in two models: no-frills 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?

Answer 1

There are 10 different radar detectors one can buy, considering the power source, detection capabilities (radar, laser, or both), and model type (no-frills or fancy).

Step-by-step explanation:

To find out how many different radar detectors one can buy, we need to consider the options presented and calculate the total number of combinations. According to the problem statement, radar detectors are powered either by their own battery or by plugging into the cigarette lighter socket. They come in two models: no-frills and fancy. Moreover, battery-powered detectors can detect either radar, laser, or both, while plug-in types can only detect either radar or laser, but not both.

1. Battery-powered detectors:

• No-frills model (detects radar) - 1 option
• Fancy model (detects radar) - 1 option
• No-frills model (detects laser) - 1 option
• Fancy model (detects laser) - 1 option
• No-frills model (detects both) - 1 option
• Fancy model (detects both) - 1 option

Plug-in detectors:

• No-frills model (detects radar) - 1 option
• Fancy model (detects radar) - 1 option
• No-frills model (detects laser) - 1 option
• Fancy model (detects laser) - 1 option

Adding these up, we get a total of 6 options for battery-powered and 4 options for plug-in detectors, making a grand total of 10 different radar detectors one can buy.