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A relation (R\subseteq A\times B) has (A={1,2,3}) and (B={p,q}). If (R) has exactly (3) ordered pairs, when will (R) be a function?

Answer and explanation

Correct answer: When each first component (1,2,3) appears exactly once

With exactly (3) pairs, a function needs one image for each of the three elements of (A). Repetition of second components is allowed.

Related tags

Function CriterionOrdered PairsFinite SetsFunctions As A Special Kind Of RelationRelations And FunctionsMathematicsClass 11 Mcq

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