Find the number of words that can be made out of the letters of the word MOBILE when consonants always occupy odd places.

Answer

36

Explanation

The word MOBILE has three even piaces and three odd places. It has 3 consonants and 3 vowels. In three odd places, we have to fix up 3 consonants, which can be done in `.^(3)P_(3)` ways.
Hence, the total number of ways is `.^(3)P_(3)xx .^(3)P_(3)=36`.