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JEE Main202313 Apr 2023Evening ShiftMathematicsPermutation and CombinationActual

All words, with or without meaning, are made using all the letters of the word M O N D A Y . These words are written as in a dictionary with serial numbers. The serial number of the word M O N D A Y is

Options

  1. A327
  2. B328
  3. C324
  4. D326

Correct answer

A. 327

Step-by-step solution

The given word is MONDAY Arranging the letters alphabetically, we get ADMNOY When the word starts with any of the letters A/D, the number of possibilities = 5 ! × 2 = 240 Now when the word starts with MA, then the number of possibilities = 4 ! = 24 Now when the word starts with MD, then the number of possibilities = 4 ! = 24 Now when the word starts with MN, then the number of possibilities = 4 ! = 24 Now when the word starts with MOA, then the number of possibilities = 3 ! = 6 Now when the word starts with MO

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