Answer:
There are 3628800 possible number of arrangements
Explanation:
Given
Number of children = 10
Required
Possible number of arrangements
From the question, we understand that the order of arrangement matters;
So; to solve this, we make use of the following formula
[tex]n! = n * (n-1) * (n-2) * ..... * 3 * 2 * 1[/tex]
In this case, n = 10
[tex]10! = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1[/tex]
[tex]10! = 3628800[/tex]
Hence, there are 3628800 possible number of arrangements