No matter which 55 positive integers may be selected from (1, 2,..., 100), prove that you must choose some two that differ by 9, some two that differ by 10, some two that differ by 12, and some two that differ by 13, but that you need not have any two that differ by 11.
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Mathematical Gems III (Dolciani Mathematical Expositions, No.9)
July 1985, Mathematical Assn of Amer
Paperback
in English
0883853132 9780883853139
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"No matter which 55 positive integers may be selected from (1, 2,..., 100), prove that you must choose some two that differ by 9, some two that differ by 10, some two that differ by 12, and some two that differ by 13, but that you need not have any two that differ by 11."
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