Problem

Source:

Tags: percent, combinatorics unsolved, combinatorics



Each of 10 identical jars contains some milk, up to 10 percent of its capacity. At any time, we can tell the precise amount of milk in each jar. In a move, we may pour out an exact amount of milk from one jar into each of the other 9 jars, the same amount in each case. Prove that we can have the same amount of milk in each jar after at most 10 moves. (4 points)