JEE Main & Advanced Mathematics Probability Question Bank Use of permutations and combinations in probability

  • question_answer
    n cadets have to stand in a row. If all possible permutations are equally likely, then the probability that two particular cadets stand side by side, is

    A)            \[\frac{2}{n}\]                          

    B)            \[\frac{1}{n}\]

    C)            \[\frac{2}{(n-1)\,!}\]                

    D)            None of these

    Correct Answer: A

    Solution :

                       Total number of ways \[=n\,\,!\].                          Favourable cases \[=2(n-1)\,\,!\]                    Hence required probability \[=\frac{2(n-1)\,\,!}{n\,\,!}=\frac{2}{n}\].


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