Question

How many different outcomes possible from throwing 10 similar dice?

Answer 1

I assume by distinct outcome you mean a unique Multiset of 10 dice faces which is to say an outcome like {1,1,2,2,3,3,4,4,5,6} is same as {1,2,3,4,5,6,1,2,3,4}.
Now this multiset will have a maximum of six unique elements {1,2,3,4,5,6} but the count for each of the unique element could vary between 0 to 10 such that the total count of elements in the set is 10.

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