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JEE Main2004MathematicsPermutation and CombinationActual

How many ways are there to arrange the letters in the word GARDEN with the vowels in alphabetical order?

Options

  1. A120
  2. B480
  3. C360
  4. D240

Correct answer

C. 360

Step-by-step solution

Since in half the arrangement A will be before E and other half E will be before A . Hence total number of ways = 6 ! 2 =360 .

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