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A binary operation ^ on the set {1,2,3,4...

A binary operation ^ on the set {1,2,3,4,5} defined by a^b=min(a,b), write the operation table for operations ^.

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Consider the binary opertion ^^ on the set {1,2,3,4,5} defined by a ^^ b = min {a,b}. Write the opertion table of the opertion ^^.

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Knowledge Check

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

    A
    10
    B
    16
    C
    20
    D
    8

  • Binary operation * on R - {-1} defined by a * b= (a)/(b+a)

    A
    * is associative and commutative
    B
    * is neither associative nor commutative
    C
    * is commutative but not associative
    D
    * is associative but not commutative

  • Binary operation * on R -{-1} defined by a ** b = (a)/(b+1) is

    A
    * is associative and commutative
    B
    * is associative but not commutative
    C
    * is neither associative nor commutative
    D
    * is commutative but not associative

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    Let * be a binary operation on the set R defined by a ** b = (a + b)/2 . Show that * is commulative but not associative.

    On Z defined * by a ** b = a -b show that * is a binary operation of Z.

    Verify whether the binary operation * on Q, the set of all rationals, defined as a*b=ab+1 is commutative or associative.

    Define binary operation.

    Define ** on the set of real number by a** b=1 + ab . Then the operation * is

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