Asked • 04/30/20

How many different piles?

From an idea I saw on twitter. How many different ways can you use 15 objects, separated into 4 four piles with none of the piles having the same number?

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Ilona M. answered • 05/01/20

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The answer to your example is 432, from brute force enumeration. The question gets a little complicated because the numbers in each pile are not independent: The numbers depend on those that came before, both for overlap and the sum to 15.

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