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
- A108
- B110
- C106
- 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 .