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Question
Find the number of arrangements that can be made out of the letters of the word “ASSASSINATION”.
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Solution
The number of letters of the word “ASSASSINATION” is 13.
The letter A occurs 3 times
The letter S occurs 4 times
The letter I occur 2 times
The letter N occurs 2 times
The letter T occurs 1 time
The letter O occurs 1 time
∴ Number of arrangements = `(13!)/(3!4!2!2!1!1!) = (13!)/(3!4!2!2!)`
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