I Have a problem with the random TSP index

Good mornings friends, I have a problem with random TSP indexes. I want to get the actual tsp path at random its index, but only the 'intermediate coordinates' index is random while the start and end point coordinates stay the same. even if the tsp index is random, the actual random tsp path will still start at index 0 as the starting point. this is my code

  public List<Coord> randVertex(int max) {
        List<Coord> result = new ArrayList<>(listVertex); // copy of vertexList

        Collections.shuffle(result);

        Random r = new Random();

        if (max < result.size()) {
            // result is shuffled and therefore randomized
            // no duplicate vertex appear in the result here
            result = result.subList(0, max);
        } else { // add randomly more elements
            while (result.size() < max) {
                result.add(result.get(r.nextInt(result.size())));
            }
        }

        return result;
    }