Question

In how many ways can letter of word india be arranged ,such that all the vowels are never together

Answer 1

= 60 (since the letter 'T' is repeated twice). Therefore, total number of permutations possible = 60*2 = 120 ways. Problem 6: Find the number of permutations of the letters of the word 'REMAINS' such that the vowels always occur in odd places. There are 4 consonants and 3 vowels in it.

Answer 2

Given: Arranged the word INDIA in such a manner that vowels are never come together.

In the word INDIA, there are 3 vowels and 2 consonants.

No of arrangements,

I_I_A

I_A_i

A_I_I

In each of the three arrangements, two different patterns can be created,

INIDA

IDINA

IDANi

INADi

ANIDI

ADINI

Total 6 arrangements can be formed where vowels are never together.

#SPJ3