My Math Forum Equivalence Relation

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 December 24th, 2017, 02:48 AM #1 Senior Member   Joined: Nov 2015 From: hyderabad Posts: 232 Thanks: 2 Equivalence Relation I have come across a question as "The number of equivalence relations that can be defined on a set with two elements is " and same question for 3 elements as well. Since I have the answers with me I am thinking the possible general term would be $\displaystyle 2^n - n$ Someone correct me
 December 24th, 2017, 07:22 AM #2 Global Moderator   Joined: Dec 2006 Posts: 19,515 Thanks: 1745 In general, it's not $2^n - n$.

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