Final answer:
There are 245 different 3-course meals that can be chosen from the menu.
Step-by-step explanation:
To work out how many different 3-course meals can be chosen from the menu, we need to find the number of choices for each course and then multiply them together.
For the starter course, there are 5 options (Prawn Cocktail, Duck Spring Rolls, Lamb Meatballs, Leaf Salad (V), Mushroom Soup (V)).
For the main course, there are 7 options (Hunter's Chicken, Beef Curry, Steak, Fish Pie, Lasagne, Egg Salad (V), Vegetable Hot Pot (V), Macaroni Cheese (V)).
For the dessert course, there are 7 options (Trifle, Ice Cream, Cheesecake, Chocolate Cake, Bakewell Tart, Fruit Salad (V), Cherry Pie (V)).