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JEE Main & Advanced Mathematics Permutations and Combinations Question Bank Self Evaluation Test - Permutations and Combinatioins

  • question_answer
    \[f:\{1,2,3,4,5\}\to \{1,2,3,4,5\}\] that are onto and \[f(i)\ne i,\] is equal to

    A) 9

    B) 44

    C) 16

    D) None of these

    Correct Answer: B

    Solution :

    [b] Total number of required functions = Number of rearrangement of 5 objects \[=5!\left( \frac{1}{2!}-\frac{1}{3!}+\frac{1}{4!}-\frac{1}{5!} \right)=44\]


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