How many arrangements of the letters of the word tamil nadu can be made if all the vowels are always together?
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The vowels in the set can be arranged among themselves in 4! Ways. Since, the vowel A is repeated twice we divide with 2!. Hence total numbers of words that can be formed with the word Tamil Nadu when all the vowels are together is (6!×4!)/2!= 8640.
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How many arrangements of the letters of the word TAMILNADU can be made if all the vowels
are always together?
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