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(1) We are given 40 identical (indistinguishable) objects and we want to distribute them among 7...

(1) We are given 40 identical (indistinguishable) objects and we want to distribute them among 7 distinct (distinguishable) boxes such that the box 1 must contain at least 3, and at most 10 objects. Use generating function to find the number of ways to do that.

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