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Question: i how many ways are there to distribute 30 identical...

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(i) How many ways are there to distribute 30 identical pieces of candy to 5 children so that every child receives at least two pieces?

(ii) How many ways are there to distribute the candy so that one of the children receives at least five pieces, a second one of the children at least four pieces, a third one at least three pieces, a fourth one at least two pieces and the remaining child at least one piece?

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