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Question
In how many ways can the letters of the word SUCCESS be arranged so that all Ss are together?
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Solution
SUCCESS
Number of letters = 7
Number of ‘S’ = 3
Since we want all ‘S’ together treat all 3 S’s as 1 unit.
Now the remaining letters = 4
∴ Total number of unit = 5
They can be arranged in 5! ways of them C repeats two times.
So total number of arrangements = `(5!)/(2!)` = 60
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