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The father gave his son ten envelopes and a thousand dollars, all in one dollar bills. He told his son, "Place the money in the envelopes in such a manner that no matter what number of dollars I ask for, you can give me one or more of the envelopes, containing the exact amount I asked for without having to open any of the envelopes. If you can do this, you will keep the $1000. When the father asked for a sum of money, the son was able to give him envelopes containing the exact amount of money asked for.
How did the son distribute the money among the ten envelopes? |
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The contents of the ten envelopes (in dollar bills) should be as follows:
$1, 2, 4, 8, 16, 32, 64, 128, 256, 489.
Now, no matter what sum of money the father asks for, the son will be able to give him the exact amount using the appropriate envelopes.
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