SOLUTION: A man wishes to give his 12 books to his 3 children, so that the first shall receive 5, the second 4, and the third 3. In how many ways can he give the books?
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-> SOLUTION: A man wishes to give his 12 books to his 3 children, so that the first shall receive 5, the second 4, and the third 3. In how many ways can he give the books?
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Question 1157327: A man wishes to give his 12 books to his 3 children, so that the first shall receive 5, the second 4, and the third 3. In how many ways can he give the books? Found 2 solutions by greenestamps, ikleyn:Answer by greenestamps(13215) (Show Source):
He can select 5 books for the first child by ways = = 792 ways. (the order is not important).
He then can select 4 books from remaining 12-5 = 7 books for the second child by = ways = = 35 ways.
The rest of the books go to the third child, with no choice.
In all, there are 792*35 = 27720 different ways. ANSWER
