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Darlene Hosea

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3y ago

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How many different ways can six books be arranged on a shelf?

The number of different ways to arrange six books on a shelf is calculated using the factorial of the number of books. This is represented as 6!, which equals 6 × 5 × 4 × 3 × 2 × 1. Thus, there are 720 different ways to arrange six books on a shelf.


How many sets of 5 books can be selected from 12 different books?

12!/(5!*7!)The number of ways to arrange nitems is n!, where "!" is the factorial function. The number of ways we can arrange the 12 books is therefore 12!. However, we don't really care what order the first 5 books are in, or what order the last 7 books are in, as long as they're the same books. We therefore divide by the number of ways to arrange 5 books and the number of ways to arrange 7 books.


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30 ways.


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