title: Clear JFileChooser selection after adding files to a JList
body: <p>For a simple Swing application for merging PDFs with Apache PDFBox I'm using a <code>JFileChooser</code> to select one or multiple PDF files and add it/them to a <code>JList</code>.
  No problems so far.</p>
  
  <p>What bothers me is that the previous selection persists in the JFileChooser when I click the button to add another file/files again, I do not want this, the selection should initially be empty.</p>
  
  <p>I tried this but it neither works nor throws an exception:</p>
  
  <pre><code>    pdfFileChooser.setSelectedFile(null);
  </code></pre>
  
  <p>Here is the relevant code:</p>
  
  <pre><code>    pdfFileChooser.setAcceptAllFileFilterUsed(false);
      pdfFileChooser.setMultiSelectionEnabled(true);
      pdfFileChooser.setFileFilter(new FileFilter() {
  
         @Override
         public boolean accept(File arg0) {
            return arg0.getName().endsWith(".pdf");
         }
         @Override
         public String getDescription() {
            return "*.pdf";
         }
      } );
  
      JButton btnAddFile = new JButton("Add file");
      btnAddFile.addActionListener(new ActionListener() {
         public void actionPerformed(ActionEvent arg0) {
            if(pdfFileChooser.showOpenDialog(frame) == JFileChooser.APPROVE_OPTION) {
               addFileToList(pdfFileChooser.getSelectedFiles());
               pdfFileChooser.setSelectedFile(null);
            }
         }
      });
  
      private void addFileToList(File[] filesToAdd) {
         if((filesToAdd != null) &amp;&amp; (filesToAdd.length &gt; 0)) {
            DefaultListModel model = (DefaultListModel)listFiles.getModel();
            for(File file : filesToAdd) {
               if(!model.contains(file)) {
                  model.addElement(file);                 
               }
            }
         }
      }
  </code></pre>
  
  <p>How can I remove the selection from the JFileChooser so no file/files is/are initially selected?</p>