[c#] Sorting an IList in C#

Is this a valid solution?

        IList<string> ilist = new List<string>();
        ilist.Add("B");
        ilist.Add("A");
        ilist.Add("C");

        Console.WriteLine("IList");
        foreach (string val in ilist)
            Console.WriteLine(val);
        Console.WriteLine();

        List<string> list = (List<string>)ilist;
        list.Sort();
        Console.WriteLine("List");
        foreach (string val in list)
            Console.WriteLine(val);
        Console.WriteLine();

        list = null;

        Console.WriteLine("IList again");
        foreach (string val in ilist)
            Console.WriteLine(val);
        Console.WriteLine();

The result was: IList B A C

List A B C

IList again A B C