This coleslaw has a dressingseasoned with mustard and Champagnevinegar.
Fit a food processor with largest slicing blade. Cut the cabbages into wedges to fit sideways into processor feed tube. Pulse to slice. Transfer cabbage to a large bowl. Change blade to largest grating blade. Fit carrots in feed tube so the long side is layingflat against blade; pulse to shred. Transfer carrots to bowl with cabbage.
In a medium bowl, whisk to combine mayonnaise, mustards, vinegar, salt, and pepper. Pour enough dressing over vegetables to moisten; stir to combine. Serve cold or at room temperature.