Question

How many different words can be formed using the letters of the word INDIA​

Answer 1

Step-by-step explanation:

heya,

The word 'INDIA' contains 2 I's, 1 A, 1 N and 1 D. <br> Number of permutations of the letters of the given word.

5!/2!=60

<br> Let us assume that the vowels IIA form 1 letter. <br> Now, IIA + ND gives 3 letters, all district. <br> Number of their arrangements = 3! = 6. <br> Now, IIA has 3 letters, out of which there are 2 I's and 1 A. <br> Number of their arrangements

3!/2!=3

<br> Number of words having all vowels together

6×3=18

<br> Number of words in which all vowels are not together

60-18=42

hope it helps you ❣️

Answer 2

Answer:

the world 'india' contains 2 1's,1'A,1'N and 1 D. Number of permutations of the letters of the given word=5! 2! =60.