In how many different ways can the letters of the word FLUTE be arranged in such a way that the vowels occupy only the even positions?  Pick one:
A) 8  B) 12  C) 18  D) 24  E) 32
The 2 vowels can be arranged in even places in 2! ways.   The 3 consonants can be arranged in three odd places in 3! ways.   The number of arrangements with vowels in even positions = 2! Ã— 3! = 2 Ã— 6 = 12   The answer is 12.
<result>B</result>
In how many different ways can the letters of the word FLUTE be arranged in such a way that the vowels occupy only the even positions?