How many different words can be formed with the letters of word $I N D I A$ ? In how many of these
(a) Two $I$ 's are always together?
(b) $N$ and $A$ are always together?

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Solution

Total number of different words formed with the letters of word INDIA $= \frac{5!}{2!} = 60$
Case a: If $2$ $I$ 's are always together, then the number of words $= 4! = 24$
Case 2: $N$ and $A$ are together
$= \frac{4! 2!}{2!} = 24$

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How many different words can be formed with the letters of word INDIA? In how many of these(a) Two I's are always together?(b) N and A are always together?

Total number of different words formed with the letters of word INDIA =5!2!=60Case a: If 2 I's are always together, then the number of words =4!=24Case 2: N and A are together =4!2!2!=24

How many different words can be formed with the letters of word $I N D I A$ ? In how many of these
(a) Two $I$ 's are always together?
(b) $N$ and $A$ are always together?

Total number of different words formed with the letters of word INDIA $= \frac{5!}{2!} = 60$
Case a: If $2$ $I$ 's are always together, then the number of words $= 4! = 24$
Case 2: $N$ and $A$ are together
$= \frac{4! 2!}{2!} = 24$