BCECE Engineering BCECE Engineering Solved Paper-2005

  • question_answer
    If \[f:A\to B\]is a bijection, then:

    A) \[n(A)=n(B)\]

    B)                         \[n(A)\le n(B)\]

    C)                         \[n(A)\ge n(s)\]   

    D)         none of these  

    Correct Answer: A

    Solution :

    Key Idea: A one-one onto mapping is a bijection mapping. Since, \[f:A\to B\]is a bijection. It means that mapping A to B is one-one onto \[\Rightarrow \]Both the sets have same number of elements \[\therefore \]  \[n(A)=n(B)\] Note: Any function, which is either increasing or decreasing function that is an bijective mapping.


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