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NDA2022MathematicsPermutation and CombinationActual

If different permutations of the letters of the word 'MATHEMATICS' are listed as in a dictionary, how many words (with or without meaning) are there in the list before the first word that starts with C ?

Options

  1. A302400
  2. B403600
  3. C907200
  4. D1814400

Correct answer

C. 907200

Step-by-step solution

Given word 'MATHEMATICS' No. of words start with A= 10! 2!2! No. of words before the first word that start with c= 10! 2!2! =907200

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