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Let A be a set of 3 elements. The number...

Let A be a set of 3 elements. The number of differentity binary operations can be defined A is…

A

`3^(9)`

B

`3^(3)`

C

`3^(2)`

D

`3^(6)`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • Let A and B be two sets containing respectively m and n distinct elements. Then number of different relations can be defined from set A to set B is ___

    A
    `2^(m+n)`
    B
    `2^(n^m)`
    C
    `2^(m^n)`
    D
    `2^(mn)`

  • Let S be a set containing n elements.Then the total number of binary operations on S is

    A
    `n^n`
    B
    `2^(n^2)`
    C
    `n^(n^2)`
    D
    `n^2`

  • Set A has 3 elements and set aba 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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