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

  • question_answer A dictionary is printed consisting of 7 lettered words only that can be made with a letter of the word CRICKET. If the words are printed at the alphabetical order, as in an ordinary dictionary, then the number of word before the word CRICKET is [Orissa JEE 2003]

    A) 530

    B) 480

    C) 531

    D) 481

    Correct Answer: A

    Solution :

    The number of words before the word CRICKET is \[4\times 5!\,+2\times 4!\,+2!\,\,=530\].

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