Question

In how many ways can the letters of the word SUCCESS be arranged so that all Ss are together?

Answer 1

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