More iTunes playlists

I have created a playlist in iTunes by importing songs from my computer in iTunes Library and transferring them in the new playlist I had just created. My question is how do I create other independant playlists. I have tried by importing songs in the library for my second playlist but all the songs of my first playlist were still in the library so when I transferred the songs I wanted in my second playlist, all the songs in the library went in my second playlist including the songs of my first playlist. So like I said, is there a way to create independant playlists because I have a lot of music and I would like to seperate it by style in my iPOD Classic. Please help me I have been trying for a month to do this and I can't find the way

 

A play list is just a list of songs, and each item simply points to a song. A play list does not actually contain a copy of the song. One song can be in multiple play lists.

 

Thank you for the info. Really helped.