This tutorial demonstrates one way of setting up an audio player for a page with multiple audio clips. The end result is the following.

Here's a little background on what led to this solution. Some time ago, I was asked to build a small site that included dozens of audio clips on one page. The client suggested I base this site on an existing site of hers that also had a page with dozens of audio clips. Visitors to the site could play different audio clips by clicking on a play button for each clip. The play buttons for the clips were laid out in a table similar to the one depicted below: