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99 Percentile Qs Bank for JEE MainMathematicsPermutation and Combination

If the letters of the word CORONA are arranged in all possible ways and these words are written in order of a dictionary, then the word CORONA appears at the serial number

Options

  1. A108
  2. B110
  3. C106
  4. D112

Correct answer

A. 108

Step-by-step solution

A C N O O R Number of words starting with A → 5 ! 2 ! = 60 C A → 4 ! 2 ! = 12 C N → 4 ! 2 ! = 12 C O A → 3 ! = 6 C O N → 3 ! = 6 C O O → 3 ! = 6 C O R A → 2 ! = 2 C O R N → 2 ! = 2 C O R O A N → 1 = 1 C O R O N A → 1 = 1 108 ¯ So, the serial number of the word C O R O N A is 108 .

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