How many words can be formed by using all the letters of the word “DAUGHTER” so that vowels always come together & vowels are never together?	Choose the correct choice from the following answers:
A) 5120 B) 1240 C) 4320 D) 6512 E) 1204
Given word contains 8 different letters   When the vowels AUE are always together we may suppose   them to form an entity ,treated as one letter   then the letter to be arranged are DAHTR(AUE)   these 6 letters can be arranged in 6p6 = 6!   = 720 ways   The vowels in the group (AUE) may be arranged in 3! = 6 ways   Required number of words = 760 * 6 =4320   Ans: 4320
<result>C</result>
How many words can be formed by using all the letters of the word “DAUGHTER” so that vowels always come together & vowels are never together?