Layers of Lasagna - Many restaurants will allow their customers to choose from a list of ingredients in order to design a 'custom' lasagna dish, but only Pizza Possibilities allows the customer to choose the order in which the layers are stacked. Pizza Possibilities offers the following list of ingredients that customers may choose from: Possible Lasagna Ingredients Meats Vegetables Cheeses Sauces Pasta Italian Tomatoes Ricotta Marinara Penne Sausage Bacon Onion Parmesan Alfredo Macaroni Ground Beef Green Mozzarella Pepper Pepperoni Zucchini There are several different types of lasagna the customer may order, based on the quantity and types of ingredients the customer prefers. For each lasagna type, the customer may choose which ingredient will be used for each layer, with the only rules being that no ingredient may be chosen for more than one layer and that the bottom and top of the lasagna will consist of lasagna noodles (and thus do not need to beconsidered when determining how many options are possible for each lasagna type). For each of the types of lasagna, determine how many possible options there are for ordering that type of lasagna: Lasagna Types Possible Options Budget Lasagna (Choose 1 layer) Triple Layer Lasagna (Choose any 3 layers) Meat Lovers Lasagna (1st layer is your choice of Sauce, then choose any two Meat layers) Vegetarian Lasagna (1st layer is your choice of Sauce, then three more layers may be chosen from the Vegetables, Cheeses, and/or Pastas categories) Lucky Seven Lasagna (Choose any 7 layers)Lucky Seven Lasagna (Choose any 7 layers) The Kitchen Sink Lasagna (Choose all 15 layers)