In how many ways letters of the word SOOTHSAYER be arranged so that two S's and O's come together?

• Since there are two S and Two O together therefore we can consider there are only 8 letters which can be permuted in
  8!x2!x2!/2!x2!=8!=40320
  
• 10 years agoHelpfull: Yes(2) No(0)
• there are 10 letters and we need to take 2 Os and 2 Ss together so all the letters become as 8.
  for 8 letters permutation is 8!
  and for 2 Os 2!
  and for 2 Ss 2!
  so the ans is 8!*2!*2!=161280
• 10 years agoHelpfull: Yes(2) No(0)
• given word SOOTHSAYER consists 2 s's and 2 o's and total letters are 10. The total possible ways for arrangement taken all the letters at a time is 10!/2!*2!=907200. let E be the event of forming 2 s's and o's get together. The number of favourable cases for event E is 6!/2!*2!=180. p(E)=180/907200=1.98412*10^-4
• 10 years agoHelpfull: Yes(0) No(0)
• since two S's and 2 O's come together so it will come as following..
  7c1*6!*2!*2!..
• 10 years agoHelpfull: Yes(0) No(0)