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getting the sum of the selected values in a listbox in c# MVC4

i'm trying to create a multiselect listbox and display the sum of its SELECTED items. So here what I did: I created a ViewModel

public class profilViewModel
{
  public IEnumerable<SelectListItem> roles { get; set; }
  public IEnumerable<String> Selectedroles { get; set; }
}

And here is the controller:

public   profilViewModelController : Controller
{
    private Context db = new Context();
    //
    // GET: /profilViewModel/
    [HttpGet]
    public ActionResult Index()
    {
        List<SelectListItem> listSelectListItem = new List<SelectListItem();
        foreach (role role in db.role)
        {
            SelectListItem selectListItem = new SelectListItem()
            {
                Text = role.role_name,
                Value = role.role_value.ToString(),
                Selected = role.IsSelected
            };
            listSelectListItem.Add(selectListItem);
        }

        profilViewModel profilViewModel = new profilViewModel();
        profilViewModel.roles = listSelectListItem;
        return View(profilViewModel);
    }

and here is my model:

 public class role
  {
    [Key]
    public int role_id { get; set; }
    public string role_name { get; set; }
    public int role_value { get; set; }
    public Boolean IsSelected { get; set; }
   }

The list box works fine, The problem is that i want to display the sum of the selected items, i tried this method:

public int Index(IEnumerable<int> Selectedroles)
    {
        if (Selectedroles == null)
        { return 0; }
        else
        {
            int result = 0;
           for (int i = 0; i < Selectedroles.Count(); i++)
      {

            result += Convert.ToInt32(Selectedroles);
            return result;
        }

      }

but the convertion doesnt work, am i missin something? thx for your help!

PS: i got inspired from hidden's answer here for my listbox JQuery Get values from Multi Select List if statement MVC3

Should your code look like this

  public int Index(IEnumerable<int> Selectedroles)
  {
    if (Selectedroles == null)
       { return 0; }
    else
    {
      var arr = Selectedroles.ToArray();
        int result = 0;
       for (int i = 0; i < arr.Length; i++)
        {
            result += Convert.ToInt32(arr[i]);
        }
   // another way
      foreach(var r in Selectedroles)
                  result += r;
     return result;

  }

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