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20 pairwise distinct positive integers are all smaller than 70. Prove that among their pairwise differences...

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Advance Math

20 pairwise distinct positive integers are all smaller than 70.Prove that among their pairwise differences there are at least 4equal numbers

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Notice that we have selected 20 pairwise distinct positiveintegers and all are smaller than 70As they are positive so greater than 0 and pairwise distinctmeans no two integers are same Thus we can put these numbers inorderSo let the numbers beNow observe that if in    See Answer
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