Classic Coleslaw

Ingredients as written

• 1 large head green cabbage, about 3 1/2 pounds, finely shredded on a mandoline or by hand (see note)
• 1 large red onion, finely sliced on a mandoline or by hand
• 1 large carrot, peeled and grated on the large holes of a box grater (see note)
• 1/4 cup roughly chopped fresh parsley leaves
• 1 cup white sugar
• 1/2 cup kosher salt
• 3/4 cup mayonnaise
• 0.25 cup red wine vinegar
• 2 tablespoons dijon mustard
• 1 tablespoon freshly ground black pepper
• 3 tablespoons sugar