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If Set has elements, Set has elements and , then the number of one-one function(s) from is zero.

Assertion: If Set $A$ has $m$ elements, Set $B$ has $n$ elements and $n < m$, then the number of one-one function(s) from $A \to B$ is zero.

Reason: A function $f: A \to B$ is defined only if all elements in Set $A$ have an image in Set $B$.

• (a)Both Assertion and Reason are true and Reason is the correct explanation for Assertion.
• (b)Both Assertion and Reason are true but Reason is not the correct explanation for Assertion.
• (c)Assertion is true and Reason is false.
• (d)Assertion is false and Reason is true.

Answer

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From ISC 2025 Mathematics Paper 1, question 1(ix).