JEE Main & Advanced Sample Paper JEE Main Sample Paper-30

  • question_answer
    If there are 10 stations on a route and the train has to be stopped at 4 of them, then the number of ways in which the train can be stopped so that atleast two stopping stations are consecutive is

    A)  \[^{7}{{C}_{4}}\]                         

    B)  \[{}^{10}{{C}_{4}}-{}^{8}{{C}_{3}}\]

    C) \[{}^{10}{{C}_{4}}-{}^{7}{{C}_{3}}\]       

    D)  \[{}^{8}{{C}_{3}}\]

    Correct Answer: C

    Solution :

    Required number of ways = Total- number of ways in which no two stopping stations are consecutive. \[={}^{10}{{C}_{4}}-{}^{7}{{C}_{3}}\]       


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