(a) There are 16 appetizers available at a restaurant. From these, Jose is to choose 13 for his party. How many groups of 13 appetizers are possible? (b) There are 12 European cities that Jose would...

Extracted text: (a) There are 16 appetizers available at a restaurant. From these, Jose is to choose 13 for his party. How many groups of 13 appetizers are possible? (b) There are 12 European cities that Jose would eventually like to visit. On his next vacation, though, he only has time to visit 4 of the cities: one on Monday, one on Tuesday, one on Wednesday, and one on Thursday. He is now trying to make a schedule of which city he'll visit on which day. How many different schedules are possible? (Assume that he will not visit a city more than once.)