In how many different ways can the letters of the word 'PROFILE' be arranged in such a way that the vowels occupy only the odd positions ?	Answers
A) 720  B) 550  C) 670  D) 625  E) 576
Number of ways of arranging the vowels =4P3=4!=24.   Also, the 4 consonants can be arranged at the remaining 4 positions.   Number of ways of these arrangements =4P4=4!=24.   Total number of ways =(24*24)= 
<gadget id="calculator">(24*24)</gadget>
<output>576</output>
576.   Answer is 576
<result>E</result>
In how many different ways can the letters of the word 'PROFILE' be arranged in such a way that the vowels occupy only the odd positions ?