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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 7 digit numbers which can be formed using the digits 1, 2, 3, 2, 3, 3, 4 is [Pb. CET 1999]

    A) 420

    B) 840

    C) 2520

    D) 5040

    Correct Answer: A

    Solution :

    Required number = \[\frac{7\ !}{3\ !\ 2\ !}=\frac{5040}{6\times 2}=420\]. (\[\because \] 3 is repeated thrice and 2 is repeated twice).


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