Cook broccoli and carrot in boiling water to cover 5 minutes; drain. Plunge into ice water to stop the cooking process; drain.
Combine broccoli mixture, mushrooms, and next 3 ingredients in a large bowl. Add Creole Dressing, tossing to coat. Cover and chill 2 hours
*We used very low calorie vegetables in this recipe; most of the calories come from the dressing's oil. A little more than 7 grams of fat per serving is the healthful monosaturated kind.