Data permutations: arrangements of letters in STATISTICAL, starting w/ S

Well, generally, when I'm completely stumped on a math problem, I think about the things I know and see where that leads. You know that the arrangement of letters has to start with an "S". So, how many "S"s are there? You also know that you'll have to pick letters one at a time until you've picked every letter. Since you've already picked one of the "S"s, how many letters are left to pick from? Now that you've picked two letters, how many are left? Are you seeing a pattern? If not, perhaps consider how many letters are left once you've picked three letters. Now, what does all this information tell you?
 
How many ways are there to arrange all the letters of the word: STATISTICAL if the arrangement starts with S
Actually we arranging just the letters \(\displaystyle T~A~T~I~S~T~I~C~A~L\). Why is that?
There are 3-T's, 2-A's, 2-I's & one each of S C L.

This is called the "MISSISSIPPI" rule there are \(\displaystyle \dfrac{11!}{(4!)^2(2!)}\) to arrange that name.

Can you see how to apply that idea to your question?
 
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