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Preheat oven to 375°F (190° C). Grease 16 muffin cups with butter or oil or line with paper liners.
Combine flour, cornmeal, sugar, baking powder, and seasonings in a large bowl and stir to blend.
In separate bowl whisk together eggs, milk and oil. Pour over dry ingredients. Sprinkle with apples, corn and cheese. Stir just until dry ingredients are moistened. Spoon into prepared muffin cups.
Bake in centre of preheated oven for 25 to 30 minutes or until tops are firm to the touch. Let cool in pans on rack for 5 minutes. Transfer to rack and cool completely.