Words with or without meaning are to be formed using all the letters of the word EXAMINATION . The…

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:
  1. 166
  2. 111
  3. 19
  4. 211

Solution

We have,

EXAMINATION

AAEIIMNNOTX

Given word has A's2, I's2, N's2 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 4th position

. - - - M- - - -

Total words with M at fourth Place =10!2! 2! 2!

Required probability =10!11!=111

Asked in: JEE Main 2021 (20 Jul Shift 1)

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