In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the ...

In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?

Quiz

Answer/Solution

36

Steps/Work

3 vowels can be arranged in odd positions in 6 ways
and
3 consonants can be arranged in even positions in 6 ways.
so total 6*6= 36 ways
ANSWER:C