Shuffle doesn't shuffle all songs completely

Can you help me out with a Limewire question. I have a problem with the order in which songs play when I use the "Shuffle" function. I find that when I use it, the songs do indeed shuffle, but some songs replay themselves (before all of the songs in the songlist play). In other words, if I have a song list of 20 songs (1, 2, 3, 4, ....20), I might hear a sequence like 1, 5, 1, 7, 2, 5, 1, 8, 3, 4, 5,....20, i.e., - song # 1 repeats, 5 repeats, etc. which isn't what I'm looking for.

What I want is a true shuffle of all the songs, without repeats, until the entire list plays through once; then back to the first song, and repeat (which is the continuous function). Any ideas?