Change the array values order by changing the index

I'm trying to change the elements of an array randomly, by changing the indexes.

My code so far is the following:

    public static string[] Shuffle(string[] wordArray)
    {
        int swapIndex = 0;
        string temp;
        Random random = new Random();
        for (int i = 0; i < wordArray.Length; i++)
        {
            System.Console.WriteLine("random " + random.Next(0, wordArray.Length));
            swapIndex = (int)(random.Next(0, wordArray.Length));

            temp = wordArray[i];
            wordArray[i] = wordArray[swapIndex];
            wordArray[swapIndex] = temp;
        }
        return wordArray;
    }

And the function that calls that method is the following:

    static string[] words1 = new string[] { "1", "2", "3" };
    static string[] days = new string[] { "M", "T", "W", "Th", "F", "S", "Su" };

    public static void playListCreation()
    {
        for (int j = 0; j < days.Length; j++)
        {
            var result = Shuffle(words1);
            foreach (var i in result)
            {
                System.Console.WriteLine(i + " ");
            }
            System.Console.WriteLine("/n");
        }
    }

The problem with the code is that every time Im getting the same number in the swapIndex value. I always get:

random 2

random 2

random 0

In all the iterations. And I don't know what I'm doing wrong.

Any ideas? thanks in advance.