JEE MAIN - Mathematics (2021 - 20th July Morning Shift - No. 14)
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 :
$${1 \over {66}}$$
$${1 \over {11}}$$
$${1 \over {9}}$$
$${2 \over {11}}$$
Explanation
AAEIIMNNOTX
----------------M----------------
Total words with M at fourth Place = $${{10!} \over {2!2!2!}}$$
Total words = $${{11!} \over {2!2!2!}}$$
Required probability = $${{10!} \over {11!}}$$ = $${{1} \over {11}}$$
----------------M----------------
Total words with M at fourth Place = $${{10!} \over {2!2!2!}}$$
Total words = $${{11!} \over {2!2!2!}}$$
Required probability = $${{10!} \over {11!}}$$ = $${{1} \over {11}}$$
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