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NDA2022MathematicsPermutation and CombinationActual

How many permutations are there of the letters of the word 'TIGER' in which the vowels should not occupy the even positions?

Options

  1. A72
  2. B36
  3. C18
  4. D12

Correct answer

B. 36

Step-by-step solution

Vowels = I , E Number of words in which vowels not occupy the even positions = ^3 C₂ 2! 3!=36

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