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
- A327
- B328
- C324
- 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