Set Theory and Algebra MCQ

1:

Let R be na equivalence relation on the set {1,2,3,4,5,6} given by

{(1,1),(1,5),(2,2),(2,3),(2,6),(3,2),(3,3),(3,6),(4,4),(5,1),(5,5),(6,2),(6,6),(6,6)}.

The partition included by R is

A.

{1,2,3,4,5,6}

B.

{{1,3,5,6},{2,4}}

C.

{{1,5},{2,3,6},{4}}

D.

{{1,2,3,4},{5,6}}

 

Answer : C

Explanation :

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Option: A

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