Arrange the Letters
In how many different ways can the letters of the word 'VAGUE' be arranged in such a way that the vowels always come together?
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V A G U E
vowels come together: so: AEU, AUE, EAU, EUA, UAE, UEA
For each of the six permutations above, represent them by one letter.
Then there are 3 letters. So permutations are : 3!
Total arrangements : 3 ! * 6 = 36
vowels come together: so: AEU, AUE, EAU, EUA, UAE, UEA
For each of the six permutations above, represent them by one letter.
Then there are 3 letters. So permutations are : 3!
Total arrangements : 3 ! * 6 = 36
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