What is the probability that, if an 8-letter word is formed from STRESSED, it will be DESSERTS? (1 Viewer)

[tk8]

Is the answer 1/280 or 1/3360 ? My teacher couldn't really explain this really well, so any help would be awesome!

 

[Ava342]

The total number of arrangements is 8! / 2! x 3! (because E and S is repeating) which gives 3360, the probability that the arrangement "DESSERTS" is selected would be 1/3360

 

[tk8]

The total number of arrangements is 8! / 2! x 3! (because E and S is repeating) which gives 3360, the probability that the arrangement "DESSERTS" is selected would be 1/3360

That's what I thought! But apparently you have to do 2!3! / (8!/2!3!) ?