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A kindergarten teacher has five books to distribute to 20 children in her class.
(a)
How many ways are there for her to distribute the books if they are all the same and no child gets more than one?
(b)
How many ways are there for her to distribute the books if they are different and no child gets more than one? If Charlie gets Green Eggs and Ham and Amanda gets The Cat in the Hat, that is a different distribution from one in which Amanda gets Green Eggs and Ham and Charlie gets The Cat in the Hat.
(c)
How many ways are there for her to distribute the books if they are all the same and there is no restriction on the number of books that can be given to any child?
Sagot :
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