How many words can be formed from the letters of the word "AFTER", so that the vowels never comes together	Choose the correct choice from the following answers.
A) 48  B) 52  C) 72  D) 120  E) None of these
Explanation:   We need to find the ways that vowels NEVER come together.   Vowels are A, E   Let the word be FTR(AE) having 4 words.   Total ways = 4! = 24   Vowels can have total ways 2! = 2   Number of ways having vowel together = 48   Total number of words using all letter = 5! = 120   Number of words having vowels never together = 120-48= 
<gadget id="calculator">120-48</gadget>
<output>72</output>
72   Option 72
<result>C</result>
How many words can be formed from the letters of the word "AFTER", so that the vowels never comes together