A restaurant offers 5 choices of appetizer, 10 choices of main meal and 4 choices of dessert. A customer can choose to eat just one course, or two different courses, or all three courses. Assuming all...

A restaurant offers 5 choices of appetizer, 10 choices of main meal and 4 choices of dessert. A customer can choose to eat just one course, or two different courses, or all three courses. Assuming all choices are available, how many different possible meals does the restaurant offer? HINT (sum the possibilities)  A person who eats only an appetizer has 5 choices. A person who eats only a main meal has 10 choices.  A person who eats only a dessert has 4 choices.  A person who eats an appetizer and a main meal has 5 × 10 = 50 choices.  A person who eats an appetizer and a dessert has 5 × 4 = 20 choices.  A person who eats a main meal and a dessert has 10 × 4 = 40 choices. A person who eats all three courses has ? choices