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Class 12MathematicsRelations and FunctionsFunctionsExpert
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If (f:A\to B) is bijective and (A) has (6) elements, how many elements does (B) have?

Answer and explanation

Correct answer: (6)

Step 1: A bijective function is both one-one and onto. Step 2: For finite sets, a bijection exists only when domain and codomain have equal sizes. Step 3: Hence (B) also has (6) elements.

Related tags

BijectionFinite SetsCardinalityFunctionsRelations And FunctionsMathematicsClass 12 Mcq
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