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 ?	Choose the correct answer:
A) 32 B) 42 C) 36 D) 65 E) 28
Number of ways of arranging the vowels =3P3=3!=6.   Also, the 3 consonants can be arranged at the remaining 3 positions.   Number of ways of these arrangements =3P3=3!=6.   Total number of ways =(6*6)= 
<gadget id="calculator">(6*6)</gadget>
<output>36</output>
36.   Answer is 36
<result>C</result>
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 ?