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On (A={1,2,3,4,5,6,7,8,9,10}), (aRb) holds when (\tau(a)=\tau(b)), where (\tau(n)) is the number of positive divisors. Which is the equivalence class of (6)?

Answer and explanation

Correct answer: ({6,8,10})

Step 1: The divisors of (6) are (1,2,3,6), so (\tau(6)=4). Step 2: (8) and (10) also have (4) positive divisors. Step 3: Elements with the same divisor count form one equivalence class.

Related tags

Divisor FunctionEquivalence ClassFinite SetEquivalence RelationRelations And FunctionsMathematicsClass 12 Mcq

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