JEE Main & Advanced Mathematics Permutations and Combinations Question Bank Definition of permutation, Number of permutations with or without repetition, Conditional permutations

  • question_answer
    The number of ways in which 9 persons can be divided into three equal groups is [Orissa JEE 2003]

    A) 1680

    B) 840

    C) 560

    D) 280

    Correct Answer: A

    Solution :

    Total ways\[=\frac{9!}{{{(3!)}^{3}}}=\frac{9\times 8\times 7\times 6\times 5\times 4}{3\times 2\times 3\times 2}=1680\].


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