American
Remove the core and shred the cabbage finely with a sharp knife or a mandoline.
Peel and coarsely grate the carrot, and finely grate the onion.
Whisk the mayonnaise, sugar, vinegar, salt, celery seed and pepper until the sugar dissolves.
Put the cabbage, carrot and onion in a large bowl.
Pour over the dressing and toss until everything is evenly coated.
Cover and refrigerate for at least 60 minutes so the cabbage softens slightly.
Stir well before serving.