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Find the number of binary operations tha...

Find the number of binary operations that can be defined on the set A={a,b,c}

Text Solution

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The correct Answer is:
`3^(9)`
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Knowledge Check

  • If A = {1, 2, 3, 4} then the number of binary operations that can be defined on A is

    A
    `4^(4)`
    B
    `4^(8)`
    C
    `4^(16)`
    D
    16

  • The number of constant functions that can be defined from the set A={a_(1), a_(2), a_(3)…, a_(n)} to the set B={b_(1), b_(2),….b_(n)} is

    A
    `n^(2)`
    B
    `n!`
    C
    0
    D
    n

  • Number of binary opertions on the set {a,b} are

    A
    10
    B
    16
    C
    20
    D
    8

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