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________ is the rank of the largest equivalence relation on a set of 20 elements.

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________ is the rank of the largest equivalence relation on a set of 20 elements.

(a) 3^20

(b) 2^400

(c) 20

(d) 1

I had been asked this question by my college director while I was bunking the class.

Asked question is from Number of Relations in portion Relations of Discrete Mathematics

1 Answer

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The correct choice is (d) 1

To explain I would say: The rank of an equivalence relation is the number of an equivalence classes. If we have a1, a2, a3, …, an elements then a1 and a2 will be in the same equivalence class because everything is related and so on. In this case, there is only one equivalence class.

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