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In how many different ways can the letters of word 'OPTICAL' be arranged so that the vowels always come together?

Respuesta :

konrad509
The vowels can be placed in the word, so they're next to each other, in [tex]5\cdot3!=5\cdot6=30[/tex] ways. The reaming 4 letters can be arranged in [tex]4!=24[/tex] ways.

So, the answer is [tex]30\cdot24=720[/tex] ways.

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