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How Many Permutations of the Letters of the Word 'Madhubani' Do Not Begin with M but End with I? - Mathematics

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प्रश्न

How many permutations of the letters of the word 'MADHUBANI' do not begin with M but end with I?

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उत्तर

Number of words that only end with I = Number of permutations of the remaining 8 letters, taken all at a time =\[\frac{8!}{2!}\]Number of words that start with M and end with I = Permutations of the remaining 7 letters, taken all at a time =\[\frac{7!}{2!}\]

Number of words that do not begin with M but end with I = Number of words that only end with I -  Number of words that start with M and end with I

\[\frac{8!}{2!}\]-\[\frac{7!}{2!}\]= 17640
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Factorial N (N!) Permutations and Combinations
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अध्याय 16: Permutations - Exercise 16.5 [पृष्ठ ४३]

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आरडी शर्मा Mathematics [English] Class 11
अध्याय 16 Permutations
Exercise 16.5 | Q 13 | पृष्ठ ४३

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