Using the permutation formula, it is found that the number of ways to distribute the books is given by:
c. 8,204,716,800
The order is important, as the books are different, hence the permutation formula is used to solve this question.
The number of possible permutations of x elements from a set of n elements is given by:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this problem, 8 books are distributed among 21 children, hence the number of ways is given by:
[tex]P_{21,8} = \frac{21!}{13!} = 8,204,716,800[/tex]
Which means that option c is correct.
More can be learned about the permutation formula at https://brainly.com/question/25925367
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