COMBINATIONS AND PERMUTATIONS ASSIGNMENT StudyForge Resources 3) 8 people are running a race. How many different ways can 1s, 2nd and 3rd occur? 4) How many different ways could you arrange this fruity line-up? 5) Your baseball team enters a best out of 7 series. How many different ways can you win in exactly 6 games. 6) This same baseball team is made up 7 girls and 8 boys. There are 9 people on the field at a time in a baseball game. If at least 4 of the people on the field have to be girls, how many different possible ways can your team take the field?Congratulations, you are getting married! You are working with the caterer, to set up the buffet. You are allowed to pick so many choices for each part of the buffet spread. Here is the list of what you can choose from. Notice how many you can choose from each part of the menu. Appetizers Salads Entrees Sides Desserts Pick 3 Pick 4 Pick 3 Pick 4 Pick 6 Artichoke Dip Caesar Chicken Cordon Bleu Mashed Potatoes Blueberry Cheesecake Swedish Meatballs Mixed Green Pork Tenderloin Wild Rice Strawberry Shortcake Buffalo Wings Spinach and Egg Roast Beef Steamed Vegetables Chocolate Cake Spring Rolls Berries and Nuts Stewed Tofu Frites Carrot Cake Calamari Fruit Lobster Scalloped Potatoes Tuxedo Cake Bruschetta Bites Greek Black Beans Lemon Squares 7-Layer Dip Pasta Perogies Nanaimo Bars Cool Cucumber Assorted Cupcakes Broccol Apple Pie Tiramisu a) Give one possible buffet list below: Appetizers Salads Entrees Sides Desserts b) What is the total number of buffets possible given the options above? c) What is your favourite single item on the menu above