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The question would be more clear if instead of Equivalence classes, it would have written as no of Partitions.

Equivalence classes are wrt individual element and not a whole relation.

[x] = Equivalence class of element x in relation R.

Now, let come to the given question.

[1] = {1,5}

[2] = {2,3,6}

[3] = {2,3,6}

[4] = {4}

[5] = {1,5}

[6] = {2,3,6}

Total no of partitions are 3.

(1,5) (2,3,6) (4)   ANSWER

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