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NDA 2022
Exam
NDA
Year
2022
Subject
Mathematics
Chapter
Permutation and Combination

NDA 2022 · Mathematics · Permutation and Combination

If different permutations of the letters of the word 'MATHEMATICS'...

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 CC ?

Options

  1. A302400302400
  2. B403600403600
  3. C907200907200
  4. D18144001814400

Correct answer

C. 907200907200

Step-by-step solution

Given word 'MATHEMATICS' No. of words start with A=10!2!2!∴A=\frac{10!}{2!2!}\therefore \quad No. of words before the first word that start with c=10!2!2!=907200c=\frac{10!}{2!2!}=907200
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