In how many ways can the letters of the word SUCCESS be arranged so th – InterviewSolution

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1.

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

Answer»

"SUCCESS", there are 3 S, 2 C , 1 U & 1 E.

So, there are 7!/(3! 2!) = (7*6*5*4)/2 = 420 possible arrangements

When all 3 S come together , there are (1+2+1+1)!/2! = 5!/2! = 60

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