JEE Main & Advanced Mathematics Permutations and Combinations Question Bank Critical Thinking Questions

  • question_answer A car will hold 2 in the front seat and 1 in the rear seat. If among 6 persons 2 can drive, then the number of ways in which the car can be filled is

    A) 10

    B) 20

    C) 30

    D) None of these

    Correct Answer: B

    Solution :

    Since 2 persons can drive the car, therefore we have to select 1 from these two. This can be done in \[^{2}{{C}_{1}}\] ways. Now from the remaining 5 persons we have to select 2 which can be done in \[^{5}{{C}_{2}}\] ways. Therefore the required number of ways in which the car can be filled is \[^{5}{{C}_{2}}{{\times }^{2}}{{C}_{1}}=20\].


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