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

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Question 500953: how many arrangements will start and end with a vowel for TOGETHER
Answer by sudhanshu_kmr(1152) About Me  (Show Source):
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No. of ways to putting a vowel on start and end = 3 i.e O..E, E..O, E..E
number of ways to arrange arrange other 6 letters = 6!/2! = 360
( letter T is two times)

total number of arrangements = 3*360 = 1080