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JEE Main & Advanced Mathematics Functions Question Bank Functions

  • question_answer
    Set A has 3 elements and set B has 4 elements. The number of injection that can be defined from A to B is  [UPSEAT 2001]

    A)            144

    B)            12

    C)            24

    D)            64

    Correct Answer: C

    Solution :

               The total number of injective functions from a set A containing 3  elements to a set B containing 4 elements is equal to the total number of arrangements of 4 by taking 3 at a time i.e., \[^{4}{{P}_{3}}=24\].


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