There are 24 books on a shelf. How many ways are there to choose 5 of them so that no two of the chosen books stand next to each other ?
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There are 24 books on a shelf. How many ways are there to choose 5 of them so that no two of the chosen books stand next to each other ?
In how many ways can 6 books be arranged on a shelf if: a) two particular books must be side by side? b) these two books must not be side by side?
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A library has gotten 37 new books, and you get too choose 9 of these books to feature in their newsletter. Do not fully evaluate your answers. a. How many ways are there for you to select these 9 books? b. Suppose that there are 3 books on the Civil War, and you don't want to choose too many historical books from the same era. How many ways can you select the 9 books so you have chosen at most...
A shelf contains 8 novels, 5 biographies, and 2 dictionaries. How many different ways may Jane select one of each type of book?