This is an old-fashioned recipe, using mayonnaise, sugar, & vinegar. My mother would have used Miracle Whip.
To shred cabbage: cut a slice off of the head, lay the slice cut side down, cut into 4ths, then, cutting across, slice very finely: 1/16″ – 1/8″ (.3cm). Do not use the core of the cabbage – you’ll recognize it when you see it.
To julienne carrot: slice strips from carrot using a vegetable peeler until the carrot is too thin. Mince the remainder – or eat it.
Find it online: https://thymeforcookingblog.com/2022/06/cabbage-salad/