Place cabbages, apples, carrots in a bowl with cold water. Add 1 tsp of vinegar and let them soak for 10 minutes. Drain and place them in a mixing bowl. Add red onion and parsley.
In a small bowl whisk mayonnaise, cider vinegar, honey, salt and pepper.
Drizzle the dressing over the slaw and toss well. Sprinkle sesame seeds if you wish. Chill 1 hr before serving.