3.2.10 A restaurant menu has five appetizers, three soups, 15 entrees, and three desserts. (i) Assuming you are going to order one item from each group, how many possible dinners can you order? (ii) Assume you come to the restaurant with a friend who is as hungry as you are. How many different orders for two full dinners can you place if your friend’s choice is not necessarily the same as yours? (iii) Answer the question in part (ii) under the constraint that you do not order the same entree and the same dessert as your friend (but the soup and/or appetizer may be the same).