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

  • question_answer
    A boat is to be manned by eight men of whom 2 can only row on bow side and 3 can only row on stroke side, the number of ways in which the crew can be arranged is

    A) 4360

    B) 5760

    C) 5930    

    D) None of these

    Correct Answer: B

    Solution :

    [b] First we have to select 2 men for bow side and 3 for stroke side. The number of selections of the crew for two sides \[{{=}^{5}}{{C}_{2}}{{\times }^{3}}{{C}_{3}}\] For each selection there are 4 persons on both sides. Who can be arranged in \[4!\times 4!\] ways? Required number of arrangement \[{{=}^{5}}{{C}_{2}}{{\times }^{3}}{{C}_{3}}\times 4!\times 4!=5760\]


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