Question

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 → B is zero.

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

Options

• Both Assertion and Reason are true and Reason is the correct explanation for Assertion.

• Both Assertion and Reason are true but Reason is not the correct explanation for Assertion.

• Assertion is true and Reason is false.

• Assertion is false and Reason is true.

Answer 1

Both Assertion and Reason are true but Reason is not the correct explanation for Assertion.

Explanation:

The assertion is true because a one-one function requires m ≤ n. The reason is true but does not explain injectivity.