A camp counselor and eight campers are to be seated along a picnic bench. In how many ways can this be done if the counselor must be seated in the seventh seat and a camper who has a tendency to engage in food fights must sit to the counselor's immediate

In a class, 96% students have at least one smartphone, 98% have a calculator, and 95% have a calculator and at least one smartphone. What percentage of students in the class have neither a calculator nor a smartphone?

In an attempt to clean up your room, you have purchased a new floating shelf to put some of your 24 books you have stacked in a corner. These books are all by different authors. The new book shelf is large enough to hold 17 of the books. Warning: before answering the next two questions, ask yourself which answer should be larger. How many ways can you select and arrange 17 of the 24 books on the shelf? Notice that here we will allow the books to end up in any order. Preview How many ways can you arrange 17 of the 24 books on the shelf if you insist they must be arranged alphabetically by author? Preview

A store located in downtown Boston has 80 employees. Through an informal survey of the employees, it was discovered that 50 of the employees take the subway to work, 20 of them take the bus, and 15 take both the subway and the bus. Use the Venn diagram to answer the following questions. How many of the employees take the subway or the bus to work? How many of the employees get to work by some other means?