how many arrangements will start and end with a vowel for TOGETHER?

• The vowels can be arranged at start and end as O..E E..O E..E so 3 ways
  Consider the vowels as a single unit. You'll have
  TGTHR(OEE) (6!/2!)*3 = 1080
• 11 years agoHelpfull: Yes(24) No(6)
• Case 1 : when first letter is "o"
  the arrangements of other letters will be 6!/2!
  case 2 : when first letter is "e"
  the last letter will be either "o" or "e"
  so the arrangements of other letters will be (2 x 6!/2!)
  So the total arrangements for start and end with a vowel for TOGETHER will be
  (3 x 6!/2!) = 1080
• 11 years agoHelpfull: Yes(13) No(6)
• No of ways to arrange vowels at first and last position is 3!/2!=3.
  No of wasy of arranging remaining 6 letters=6!.
  So total no of ways=3*6!.
• 11 years agoHelpfull: Yes(3) No(3)
• total 8 letters...consider vowels as one group so 6 can be arranged in 6!ways and T is repeated=6!/2! nd vowels can be arranged in 3p2/2!(3p2=3!/1!=3)...so tatal (6!/2!)*3
• 11 years agoHelpfull: Yes(2) No(1)
• 3C1 for selecting vowels n 6!/2!*2! = 1080
• 11 years agoHelpfull: Yes(1) No(1)
• @Tejvansh: SO yu mean "e" can be repeated,but not "t"??
• 11 years agoHelpfull: Yes(0) No(1)
• for vowels at 1st nd last position 3!/2!
  and now we are left with 6 places and 6 letters which can now be arranged as 6!
  So i think answer will be 3*3*6!
• 11 years agoHelpfull: Yes(0) No(2)