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) 2310  B) 4510  C) 5231  D) 2351  E) 4320
Given word contains 8 different letters   When the vowels AU4320 are always together we may suppose   them to form an entity ,treated as one letter   then the letter to be arranged are DAHTR(AU4320)   these 6 letters can be arranged in 6p6 = 6!   = 720 ways   The vowels in the group (AU4320) may be arranged in 3! = 6 ways   Required number of words = 760 * 6 =4320   Ans: 4320
<result>E</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?