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We are required to form different words with the help of lette

Question

We are required to form different words with the help of letter of the word $I NTEGER$ . Let $m_{1}$ be the number of words in which $I$ and $N$ are never together and $m_{2}$ be the number of words which start with $I$ and end with $R$ , then $m_{1} / m_{2}$ is given by

90

30

60

180

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Eleanor Discussed

We are required to form different words with the help of letter of the word

I NTEGER

. Let

m_{1}

be the number of words in which

I

and

N

are never together and

m_{2}

be the number of words which start with

I

and end with

R

, then

m_{1} / m_{2}

is given by

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Text solutionVerified

All possible words are

\frac{7 !}{2 !}

2520

If I and N are always together(two ways IN or NI),
=

\frac{2.6 !}{2 !} = 720

So,

m_{1} = 1800

If it is starting with I and ends with R,

m_{2} = \frac{5 !}{2} = 60

So,

\frac{m _{1}}{m _{2}} = 30

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Question Text	We are required to form different words with the help of letter of the word $I NTEGER$ . Let $m_{1}$ be the number of words in which $I$ and $N$ are never together and $m_{2}$ be the number of words which start with $I$ and end with $R$ , then $m_{1} / m_{2}$ is given by
Answer Type	Text solution:1
Upvotes	150