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Let A and B be two finite sets and let P...

Let A and B be two finite sets and let P(A) and P(B) respectively denote their power sets. If P(A) has 112 elements more than P(B), then the number of injective functions from A to B is …………….

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24
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[" Let "A" and "B" be finite sets and "P_(A)" and "P_(B)" respectively "],[" Q."4" denotes their power sets.If "P_(B)" has "112" elements "],[" more than those in "P_(A)" .Then the number of functions "],[" from "A" to "B" which are injective is "]

Set A has 3 elements and set B has 4 elements.The number of injections that can be defined from A to B is

Knowledge Check

  • Set A has 3 elements and set B has 4 elements. The number of injections that can be defined from A to B is

    A
    144
    B
    12
    C
    24
    D
    64

  • Set A has 3 elements and set B has 4 elements. The number of injections that can be defined from A to B is

    A
    144
    B
    12
    C
    24
    D
    64

  • Set A has 3 elements and set B has 4 elements. The number of injections that can be defined from A to B is

    A
    144
    B
    12
    C
    24
    D
    64

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    Set A has 3 elements and the set B has 4 elements. Then, the number of injective mappings that can be defined from A to B is :

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    Let A and B be two finite sets having m and n elements, respectively. Then, the total number or mapping from A to B is

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