In a large bowl, combine the first five ingredients. In another bowl, combine the eggs, applesauce, oil and vanilla. Stir in carrots, apple, pineapple, coconut, raisins and nuts.
Fill greased or paper-lined muffin cups two-thirds full. Bake at 350 degrees F for 20-24 minutes or until a toothpick comes out clean. Cool for 5 minutes before removing from pans to wire racks.