1. In a small bowl, whisk together mayonnaise, sour cream, orange juice, vinegar, and basil; season with salt and pepper. Refrigerate, covered, until ready to use.

2. Slice the apples, jicama, and carrots on the thinnest setting of a mandoline or with a sharp knife, then cut slices into julienne, about 2 inches long.

3. In a large bowl, toss julienned apples, jicama, carrots, and cabbage with the mayonnaise mixture. Cover with plastic wrap, and refrigerate until ready to serve.