This could also be good without the cabbage.
1/2 lb. radishes, trimmed and grated coarse (about 2 cups)
3 cups finely shredded cabbage
1 cup coarsely grated carrots
1/2 cup thinly sliced red onion
2 tbsp. fresh lemon juice
1/2 tsp. sugar
2 tbsp. olive oil
2 tbsp. finely chopped fresh cilantro, mint, or parsley leaves
In a bowl toss together the radishes, the cabbage, the carrots, the onion, the lemon juice, the sugar, the oil, the herbs, and salt and pepper to taste.