in how many different ways can the letters of the word ORGANISE be arranged in such a way that all the vowels always come together
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When the vowels EAI are always together, they can be supposed to form one letter. Then, we have to arrange the letters LNDG (EAI). Now, 5 (4 + 1 = 5) letters can be arranged in 5! = 120 ways.
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