Words with or without meaning are to be formed using all the letters of the word EXAMINATION . The probability that the letter M appears at the fourth position in any such word is:

Step-by-step solution

We have, EXAMINATION AAEIIMNNOTX Given word has A ' s → 2 ,   I ' s → 2 ,   N ' s → 2 and rest other are distinct alphabets. Total number of ways to form words using the alphabets of EXAMINATION is = 11 ! 2 ! · 2 ! · 2 ! Now, putting M at 4 th position .   -   -   -   M -   -   -   - Total words with M at fourth Place = 10 ! 2 !   2 !   2 ! Required probability = 10 ! 11 ! = 1 11