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JEE Main & Advanced Mathematics Functions Question Bank Self Evaluation Test - Relations and Functions-I

  • question_answer
    If \[A=\{8,9,10\}\] and \[B=\{1,2,3,4,5\},\] Then the number of elements in \[A\times A\times B\] are

    A) 15

    B)                                30

    C) 45

    D)                                75

    Correct Answer: C

    Solution :

    [c] \[n(A\times B\times C\times ...)=n(A)\times n(B)\times n(C)\times ....\] \[\therefore n(A\times A\times B)=n(A)\times n(A)\times n(B)=3\times 3\times 5=45\] \[[\because \,\,\,n(A)=3,\,\,n(B)=5]\]


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