In how many ways books can be divided into
children such that all contains
books to each child.
The given information is:
Number of books
Number of children
Number of books to each child
Pick first books from
books ,
Total no. of ways of choosing is:
Pick next books from
books ,
Total no. of ways of choosing is:
Pick next books from
books ,
Total no. of ways of choosing is:
Pick last books from remaining
books and the number of ways this can be done is
.
Since the five groups are similar, there is no differentiation between them. Therefore, we need to divide it with .
The total numbers of ways:
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