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

  • question_answer
    A person invites a party of 10 friends at dinner and place them so that 4 are on one round table and 6 on the other round table. The number of ways in which he can arrange the guests is

    A) \[\frac{(10)!}{6!}\]

    B) \[\frac{(10)!}{24}\]

    C) \[\frac{(9)!}{24}\]

    D) None of these

    Correct Answer: B

    Solution :

    [b] Selection of 6 guests = 10C6 Permutation of 6 on round table = 5! Permutation of 4 on round table = 3! Then, total number of arrangements \[{{=}^{10}}{{C}_{5}}.5!.3!\] \[=\frac{(10)!}{6!4!}.5!.3!=\frac{(10)!}{24}\]


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