Question: Seven apples, three oranges, and five lemons are randomly distributed into three boxes. No box can contain more than five fruits. Find the probability that

Seven apples, three oranges, and five lemons are randomly distributed into three boxes. No box can contain more than five fruits. Find the probability that

(a) Each box contains an orange;

(b) Exactly one box contains no oranges. (There are 15 fruits and 15 places in the boxes.)

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