# How many ways can 6 different books be arranged on a shelf?

May 20, 2017

There are $720$ ways. See explanation.

#### Explanation:

To calculate the number of ways in which $n$ elements can be arranged in a sequence you should use the permutations:

## n=P_6=6!

To calculate the factorial you have to multiply all natural numbers between $1$ and $6$:

6! =1xx2xx3xx4xx5xx6=36xx20=720