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