"Limit list to selected" and default to all selected?
If you want to define a default value for a limited list of items in a Views exposed filter, you can achieve it by altering the exposed filter in a custom module:

function mymodule_form_views_exposed_form_alter(&amp;$form, &amp;$form_state) {
  $filter_field_id = 'my_filter_identifier';
  if (isset($form[$filter_field_id])) {
    $options = array();
    $options['First option value']  = 'First option label';
    $options['Second option value'] = 'Second option label';
    $form[$filter_field_id]['#type'] = 'select';
    $form[$filter_field_id]['#options'] = $options;
    $form[$filter_field_id]['#default_value'] = 'First option value';
  }
}


In order to make it to work, you need to uncheck the "Limit list to selected" option in the Views exposed filter. Of course, you also need to know the real values of your list items.

If your Views default value includes multiple options from the list, and you do not want to allow the user to select multiple options at once, you will also need to add a new filter blocking the other undesired options.