Question

How will I populate a ASP.NET MVC List box?
Make it non selectable?
how will i remove the selected items from the listbox

Answer 1

You want an unselectable select?

 <%= Html.ListBoxFor( m => m.Choices, 
                      Model.ChoicesMenu,
                      new { disabled = "disabled" } ) %>

The idea is that your model needs to have an IEnumerable<SelectListItem> that will hold the possible key/value pairs for your selection, here the ChoicesMenu. The actual values chosen, if it could be selected, would be posted in the Choices property. Use the signature that allows you to specify html attributes and make it disabled prevent selecting it. You can, of course, do this (or undo it) with javascript.

Model:

 public class ViewModel
 {
     public int[] Choices { get; set; }
     public IEnumerable<SelectListItem> ChoicesMenu { get; set; }
 }

Action (relevant bit)

 var model = new ViewModel
 {
     ChoicesMenu = db.Items
                     .Select( i => new SelectListItem
                      {
                          Text = i.Name,
                          Value = i.ID.ToString()
                      } );
 }