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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 - Mathematics

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प्रश्न

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.

विकल्प

  • 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.

MCQ
अभिकथन और तर्क
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उत्तर

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.

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