12th Class Mathematics Relations and Functions

  • question_answer 75)
    Number of binary operations on the set {1, b} are (a) 10 (b) 16 (c) 20 (d) 8  

    Answer:

    Let A = {a, b}       We know that a binary operation * on set A is defined as * :       Here n (A) = number of elements in A = 2       and n(A × A) = 2 × 2 = 4       As we know that number of binary operation       * : A × A  is equal to (n(A))n (A × A)       i.e., 24 = 16        is correct.       


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