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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