# SOLUTION: What is the number of distinguishable arrangements that can be made from the word KITCHEN, if the vowels must stay together?

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 Click here to see ALL problems on Probability-and-statistics Question 344986: What is the number of distinguishable arrangements that can be made from the word KITCHEN, if the vowels must stay together?Answer by Edwin McCravy(8999)   (Show Source): You can put this solution on YOUR website! Since the 2 vowels of KITCHEN must stay together, we either have to put these 6 things in a row (K), (IE), (T), (C), (H), (N) or these 6 things in a row: (K), (EI), (T), (C), (H), (N) There are 6! ways to arrange either in a row, so the answer is 2*6! = 2(720) 1440 ways Edwin