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Class 12 Relations And Functions · Assertion Reason1 Markstypes_of_functions

Class 12 Maths · Relations And Functions · Assertion Reason #116

Assertion: An onto function \(f:\{1,2,3\}\to\{1,2,3\}\) must be one-one. Reason: A one-one map between finite sets of equal size is onto, and conversely.

✅ Step-by-Step Solution

Final Answer: Option (A): Both A and R are true, and R is the correct explanation of A.
  1. The reason directly includes the assertion as its converse direction: for finite sets of equal cardinality, surjectivity and injectivity are equivalent.

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