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 answer
A) 4130 B) 2540 C) 2130 D) 4510 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
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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?