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the number of arrangements that can be formed by taking all th

Question

the number of arrangements that can be formed by taking all the letters of the word $M I SS I S I PP I$ so that all $S$ 's comes together is

6! 2!

5! 2!

8! /5!

7! /3!

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the number of arrangements that can be formed by taking all the letters of the word $M I SS I S I PP I$ so that all $S$ 's comes together is

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Text solutionVerified

Let us put all 'S' as single unit

We know, If P things are alike of one kind,Q things are alike of second thing and R of third and so on then

\frac{( P + Q + R \cdot\cdot\cdot )!}{P ! + Q ! + R ! +\cdot\cdot\cdot}

will be required permultation

∴ \frac{( 1 + 4 + 1 + 2 )!}{1 ! + 4 ! + 1 ! + 2 !}

∴ \frac{8 !}{1 ! + 4 ! + 1 ! + 2 !}

\frac{7 !}{3 !}

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Question Text	the number of arrangements that can be formed by taking all the letters of the word $M I SS I S I PP I$ so that all $S$ 's comes together is
Answer Type	Text solution:1
Upvotes	150