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    Pigeonhole Principle and Sequences

    Hi guys. Homework Statement Given any two sequences of integers of length n, \left{\{a_k\right\}_{k=1}^n,\left{\{b_k\right\}_{k=1}^n,, where 1\le a_k,b_k\le n for all 1\le k\le n, show that there are subsequences of a_k,b_k such that the sum of the elements in each subsequence is equal...
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