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If all the words (with or without meaning) having five letters,formed using the letters of the word SMALL and arranged as in a dictionary, then the position of the word SMALL is :

JEE · Math · previous-year question

  1. A.$${46^{th}}$$
  2. B.$${59^{th}}$$
  3. C.$${52^{nd}}$$
  4. D.$${58^{th}}$$correct

Answer

D. $${58^{th}}$$

Explanation

Clearly, number of words start with $$A = {{4!} \over {2!}} = 12$$ Number of words start with $$L = 4! = 24$$ Number of words start with $$M = {{4!} \over {2!}} = 12$$ Number of words start with $$SA = {{3!} \over {2!}} = 3$$ Number of words start with $$SL = 3! = 6$$ Note that, next word will be "SMALL" Hence, the position of word "SMALL" is 58th.

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