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

  • question_answer
    5 persons A, B, C, D and E are in queue of a shop. The probability that A and E always together, is

    A)            \[\frac{1}{4}\]                          

    B)            \[\frac{2}{3}\]

    C)            \[\frac{2}{5}\]                          

    D)            \[\frac{3}{5}\]

    Correct Answer: C

    Solution :

                       Total number of ways \[=5\,!\]            Favourable number of ways \[2\,.\,4\,!\]                    Hence required probability \[=\frac{2\,.\,4\,!}{5\,!}=\frac{2}{5}\].


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