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On the set of lowercase English alphabet letters, (aRb) if and only if (a) and (b) are both vowels or both consonants. How many equivalence classes does this relation form?

Answer and explanation

Correct answer: (2)

Step 1: The relation divides letters into two groups: vowels and consonants. Step 2: Letters in the same group are related, while letters in different groups are not related. Step 3: Hence exactly (2) equivalence classes are formed; (5) is only the number of vowels, not the number of classes.

Related tags

Equivalence ClassesPartitionNon Numeric RelationExam McqEquivalence RelationRelations And FunctionsMathematicsClass 12 Mcq

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