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Question
The number of ways to arrange the letters of the word “CHEESE”:
Options
120
240
720
6
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Solution
120
Explanation:
Here there are 6 letters.
The letter C occurs one time
The letter H occurs one time
The letter E occurs three times
The letter S occurs one time
Number of arrangements = `(6!)/(1! 1! 3! 1!) = (6!)/(3!)`
`= (6xx5xx4xx3!)/(3!)` = 120
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