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A set (A) has (4) elements. How many symmetric relations are possible on (A)?

Answer and explanation

Correct answer: (2^{10})

Step 1: The number of symmetric relations on an (n)-element set is (2^{\frac{n(n+1)}{2}}). Step 2: Here (n=4), so the number of independent positions is (\frac{4\cdot5}{2}=10). Step 3: For counting questions, substitute (n) carefully.

Related tags

Symmetric RelationNumber Of RelationsExpert MathRelations And FunctionsMathematicsClass 12 Mcq

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