The assets of a will lists 7 barrels full of honey, 7 barrels 1/2 full of honey and 7 empty barrels.

The executor's task was to divide these assets among 3 sons, so that each son gets 7 barrels and the same amount of honey, without pouring honey from one barrel to another.

How many distinct ways could the estate be divided into?

Treat the barrels and honey as identical objects

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