Mathematics
Mathematics, 14.08.2020 23:01, cobbiegirl8996

Suppose we are given a set S of 50 distinct ordered pairs of integers (ai , bi). Does there exist two ordered pairs (aj , bj ) and (ak, bk) in S such that both (aj mod 7 ≑ ak mod 7) and (bj mod 7 ≑ bk mod 7)? Prove your answer.

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Suppose we are given a set S of 50 distinct ordered pairs of integers (ai , bi). Does there exist tw...

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