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There are 4 apples, 5 bananas, and 10 grapefruits in the produce section of a grocery store. The apples look identical. The bananas look identical.

There are 4 apples, 5 bananas, and 10 grapefruits in the produce section of a grocery store. The apples look identical. The bananas look identical. The grapefruits look identical. Q1 In how many ways can a fruit basket be filled with these fruits. The only constraint is the basket is not allowed to be empty. Q2 How does this question change if all the fruits looked different? In how many ways can the basket be filled then?

(I think the first question is asking the number of all the sub-multiset of {a,a,a,a,b,b,b,b,b,g,g,g,g,g,g,g,g,g,g,g}, but I don't know how to get it. )

(and for second question, if all fruits are different, maybe consider them as 19 different fruits and just find of cardinality of the power set? like 2^19 and minus 1 to exclude empty basket

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