## Problem of the Day #49: Filling Cups with HCl
*May 7, 2011*

*Posted by Alex in : potd , trackback*

There are $6$ unique cups, each of capacity $10$ liters, arranged in a row. Assuming that all pouring must be done in integer quantities, find the number of ways to completely empty a $23$ liter bottle of hydrochloric acid into the cups.

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