At the Pizzeria di Sicily, a customer has a choice of
four different crusts: regular, whole wheat, gluten-free, or cauliflower;
seven different sauces: red sauce, Alfredo sauce, pesto, olive oil, BBQ sauce, creamy garlic sauce, or chili sauce;
twelve cheeses: swiss, parmesan, paneer, gorgonzola, asiago, cream cheese, cheddar, feta, goat cheese, ricotta, mascarpone, or fontina;
ten meat toppings: prosciutto, hot Italian sausage, sardines, bacon, meatballs, barbeque chicken, pastrami, tuna, brisket, or pepperoni;
thirty-nine veggie toppings: garlic, bell peppers, rhubarb, dill pickles, green onions, jalapenos, pineapple, sauerkraut, corn, spinach, broccoli, tomatoes, figs, eggplant, pistachios, roasted beets, cauliflower, green olives, mushrooms, Greek peppers, Brussels sprouts, red onions, black olives, artichokes, mustard greens, peas, carrot, blackberries, onions, cherry tomatoes, mango, cilantro, avocado, raspberries, butternut squash, capers, sun-dried tomatoes, strawberries, or red grapes;
and five special toppings: balsamic vinegar, fried egg, whipped cream, peanut butter, or chocolate sauce.
On the menu is an option to build-your-own "Papa's Special Pie," where a customer has the choice of one crust, one sauce, two cheeses, three meats, three veggies, and one or no special item. For example, a customer could order a Papa's Special Pie with cauliflower crust, BBQ sauce, mascarpone and paneer, brisket, meatballs, prosciutto, blackberries, tomatoes, cherry tomatoes, and whipped cream. How many different "Papa's Special Pies" are possible?
At the Pizzeria di Sicily, a customer has a choice of four different crusts: regular, whole...