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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 meí ½í¸Š 
December 24th, 2017, 07:22 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 19,057 Thanks: 1618 
In general, it's not $2^n  n$.


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