Mathematics · Set Theory and Functions
Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: The total number of injective functions possible from a set A with m elements to a set B with n elements is evaluated as nm. Reason R: The total number of unrestricted functions from a set A with m elements to a set B with n elements is calculated by independently mapping each of the m elements in A to any of the n elements in B, resulting in nm functions. In the light of the above statements, choose the most appropriate answer from the options given below:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1A is not correct but R is correct✓
- 2Both A and R are correct and R is the correct explanation of A
- 3Both A and R are correct but R is NOT the correct explanation of A
- 4A is correct but R is not correct
Correct answer
A is not correct but R is correct
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