Question

In how many different ways letters of word optical be arranged so that vovels come together

Answer 1

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Answer 2

3vowels
4 consonants
group the 3 vowels OIA
and first arrange the remaining 4 consonants by 4! then there will be 5 gaps choose 1 gap out of 5 by 5c1 to place the group of that three vowels than internally arrange OIA by 3!
so the answer is
4!*5c1*3!=4!*5*6=6!=720