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"C O M P U T E R" 8 letters, 3 vowels grouped for adjacent placement
The 3 vowels thmeselves have 3! ways of being arranged
total ways vowels can occupy adjacent places = 3!6!
(the 6! being ways of arranging the remaining 5 letters and the group of 3 vowels)
total ways of arranging 8 letters is 8!
the letters of the word "COMPUTER" are arranged randomly...
P(that all vowels occupy adjacent places) = 3!6!/8! = 
