In how many different ways can the letters of the word VALUES be arranged in such a way that the vowels occupy only the odd positions?	Choose the correct choice from the following answers:
A) 120	B) 36	C) 48	D) 32	E) 72
The 3 vowels can be arranged in three odd places in 3! ways.   Similarly, the 3 consonants can be arranged in three even places in 3! ways.   The total number of arrangements in which vowels occupy odd positions = 3! Ã— 3! = 6 Ã— 6 = 36   The answer is 36.
<result>B</result>
In how many different ways can the letters of the word VALUES be arranged in such a way that the vowels occupy only the odd positions?