Piling coins (piling in bins 3/4)

Kelly has 10 different coins about the same size and wants to put them in 3 piles. The order of the coins in each pile is important, but the piles don't have any particular order.

How many ways are there to do that?

Details and assumptions:

A pile of coin(s) is a pile only if it has at least a coin in it.

Part of the Piling distinct objects in bins set.

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