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Byju's Answer
Standard XII
Mathematics
Permutation: n Different Things Taken r at a Time
How many word...
Question
How many word can be formed by arranging the letters of the word
′
I
N
D
I
A
′
so that no two vowels are together?
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Solution
I
N
D
I
A
First place consonants by
2
!
ways
gaps \to fill 3 vowels in there by
3
!
∂
!
ways
Total words possible
=
3
!
∂
!
×
2
!
=
6
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Permutation: n Different Things Taken r at a Time
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