Bell number and Equivalence Relations

Sometimes in Exam, we are given a Set and then ask us to find the number of equivalence relations. for this, we use the bell Number.

Example:

let A ={1,2,3,4} .What is total number of Eqivalence relations? 

Solutions: 

Total number of elements in Set A= 4

So the total number of equivalence relation=15

 

For more bell numbers, Please refer to the given link.

https://www.youtube.com/watch?v=NjTv6cu4wQU

 

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