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16. There are seven books in the Harry Potter series. In how many ways can you arrange the books on your shelf?

16. There are seven books in the Harry Potter series. In how many ways can you arrange-example-1

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There are 7 books which are arranged in 7 places.

So the total number of ways is:


\begin{gathered} _7P_7=(7!)/((7-7)!)=7! \\ =7*6*5*4*3*2*1 \\ =5040 \end{gathered}

Hence there are 5040 ways to arrange the books.

User Gmarian
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