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Preheat oven to 400 degrees F.
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Coat 12 regular-sized or 36 mini muffin cups with non-stick spray; set aside.
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In a large bowl, stir together flour, whole wheat flour, baking powder, cinnamon and salt.
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In a small bowl, stir together the egg whites, orange peel, orange juice, milk, oil, applesauce and honey.
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Beat with a fork until well-combined.
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(The mixture will look curdled.) Then stir in the carrots.
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Add the carrot mixture to the flour mixture.
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Stir just until moistened.
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(The batter will be lumpy.) Spoon the batter into the prepared muffin cups, filling each cup about three-quarters full.
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Bake for 14-16 minutes for mini muffins or 20-22 minutes for larger muffins, or until a toothpick inserted in the center comes out clean.
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(Do not overbake.) Cool the muffins in the pan on a wire rack for 5 minutes.
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Then remove the muffins from the pan.
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Good served warm.