of the
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Problem
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Here is my offering as the last Problem of the Week for the year. A new series of Problem of the Week challenges will resume in mid-January, 1999.
Note the correction below...(too much egg nog on my part, perhaps).
Put all the positive integers into a Christmas basket. Reach into the basket and pull one out. Write down the number and return it to the basket. Repeat this process until you have pulled out a total of 1998 numbers. Must some subset of the numbers you have selected have a sum divisible by 1998?
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