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How Many Different Words Can Be Formed from the Letters of the Word 'Ganeshpuri'? in How Many of These Words:The Letters P and I Respectively Occupy First and Last Place?

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Question

How many different words can be formed from the letters of the word 'GANESHPURI'? In how many of these words:

the letters P and I respectively occupy first and last place?

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Solution

If we fix the first letter as P and the last letter as I, the remaining 8 letters can be arranged in 8! ways to form the words.
∴  Number of words that start with P and end with I = 8!

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Factorial N (N!) Permutations and Combinations
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Chapter 16: Permutations - Exercise 16.4 [Page 37]

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R.D. Sharma Mathematics [English] Class 11
Chapter 16 Permutations
Exercise 16.4 | Q 6.3 | Page 37

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