Search any question & find its solution
Question:
Answered & Verified by Expert
The number of words which can be made out of the letters of the word 'MOBILE' when consonants occupy odd places is
Options:
Solution:
2398 Upvotes
Verified Answer
The correct answer is:
$36$
There are 3 vowels and 3 consonants
$\therefore$ Number of ways to fill and arrange odd places
with consonants $={ }^3 C_3 \cdot 3$ !
and number of ways to fill remaining 3 places $=3$ !
$\therefore$ The number of words $={ }^3 C_3 \cdot 3 ! \cdot 3 !=36$
$\therefore$ Number of ways to fill and arrange odd places
with consonants $={ }^3 C_3 \cdot 3$ !
and number of ways to fill remaining 3 places $=3$ !
$\therefore$ The number of words $={ }^3 C_3 \cdot 3 ! \cdot 3 !=36$
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.