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

Toam asked Jan 9, 2023

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Toam asked Jan 9, 2023

by Toam

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7 votes

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.

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