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If (A) and (B) are finite sets and (f:A\to B) is onto, which statement is definitely true?

Answer and explanation

Correct answer: \(|A|\ge|B|\) / (|A|\ge|B|)

Step 1: If a function is onto, every codomain element is reached by at least one domain element. Step 2: Therefore, the domain cannot have fewer elements than the codomain. Step 3: For finite sets, this is a necessary condition.

Related tags

Finite SetsOnto ConditionCardinalityClass 12Onto FunctionRelations And FunctionsMathematicsClass 12 Mcq

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