Apache Maven, Apache Tomcat, and Idea IntelliJ are 3 different products. They should live in 3 different directories.
Usually in Windows, I'd expect to find Maven and Tomcat living in their respective directories under "C:\Program Files". But in fact, neither of those products actually cares where you put them. You can just as easily put them in your home directory, for example, although if you're planning to run Tomcat as a Windows Service, then you're better off doing what Windows wants. Tomcat, as I said, doesn't care. In fact, you can have 2 or 3 different versions of Tomcat installed and running on your computer at the same time.
When using IntelliJ to interact with Maven and Tomcat, you have to tell IntelliJ where the Maven and Tomcat base directories are so that it can run them, but that's an IntelliJ thing.
"privilege" comes from the Latin words for "private" and "law" (legal) and dates to feudal times. To "claim privilege" meant that you were above the laws that applied to the common people.