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How do I rotate 18 people into pairs so that each person gets to talk to every other person without any overlap

Mathematics Asked by JimK on December 22, 2020

I am doing a meeting of 18 people. I want each person to have a few minutes to speak to each person with no wasted time. So in Session 1, A talks to B, C talks to D, etc but if not done correctly then at some point someone says " I spoke to C already.etc"

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