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Question
Find the number of arrangements that can be made out of the letters of the word “ASSASSINATION”.
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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