Question

You need to arrange eight of your favorite books along a small shelf. How many different ways can you arrange the​ books, assuming that the order of the books makes a difference to​ you?
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Part 1
  
enter your response here ways
​(Type a whole​ number.)

Answer 1

To find the number of different ways to arrange eight books on a shelf, you can use the concept of permutations. The number of ways to arrange \( n \) distinct objects is calculated using the factorial function, represented as \( n! \).

In this case, since you have 8 books, you would calculate \( 8! \):

\[
8! = 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1
\]

Calculating this:

\[
8! = 40320
\]

Therefore, the number of different ways to arrange the eight books is **40320**.