How many words can be formed from the letters of the word ‘EXTRA’ so that the vowels are never together?  Choose the most appropriate option.
A) 48	B) 120	C) 72	D) 110	E) 116
The given word contains 5 different letters.   Taking the vowels EA together, we treat them as one letter.   Then, the letters to be arranged are XTR (EA).   These letters can be arranged in 4! = 24 ways.   The vowels EA may be arranged among themselves in 2! = 2 ways.   Number of words, each having vowels together = (24x2) = 48 ways.   Total number of words formed by using all the letters of the given words = 5! = (5x4x3x2x1) = 120.   Number of words, each having vowels never together = (120-48)= 
<gadget id="calculator">(120-48)</gadget>
<output>72</output>
72.   Answer 72.
<result>C</result>
How many words can be formed from the letters of the word ‘EXTRA’ so that the vowels are never together?