Mix the mayonnaise, Dijon, honey, vinegar, salt, and pepper to make a dressing.
Shred or thinly slice the cabbage into 2-inch by ¼-inch strips. Shred or slice the carrots into 2-inch by ⅛-inch strips. Peel and core the apples. Shred or slice them into 2-inch by ⅛-inch strips and keep them in water with lemon juice or vinegar added, so they don't brown.** Cut the green onions on the diagonal into ⅛-inch thick slices.
Mix the apples and vegetables with the dressing in a large bowl. If necessary, add more salt to taste.
Keep the salad refrigerated until ready to serve. Mix before serving, and add more salt to taste.
