In how many different ways can the letters of the word optical be arranged so that the vowels come toghether
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take the vowels as one unit I. E.
let's group (o,i,a).
so total number of letters is 7-3+1=5
1) so total number of ways you can arrange 5 letters is 5!
2) but in the group (o,i,a) the letters can themselves arrange so the number of arrangement =3!
So the total number of
arrangement is 3!×5! = 720
let's group (o,i,a).
so total number of letters is 7-3+1=5
1) so total number of ways you can arrange 5 letters is 5!
2) but in the group (o,i,a) the letters can themselves arrange so the number of arrangement =3!
So the total number of
arrangement is 3!×5! = 720
ParamanandaDas:
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