I am mushroom ^-^

In a mushroom forest, there are \(90\) distinct mushrooms and Jimmy goes for picking all of them for his dinner. He took 3 identical bags with him, each of them can hold maximum \(30\) mushrooms. If he takes home all of the mushrooms, then in how many ways can he put the mushrooms in the bags ? Write your answer as digit sum of the number.

This problem is a part of the set Vegetable combinatorics

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