The best way to think of this is how many options there are for each letter. There are 7 possibilities for the first letter. Then there are 6 possibilities (out of the remaining letters) for the second latter. Then 5 possibilities for the next, and so on. The total number of possibilities will be 7x6x5x4x3x2x1, which equals 5,040. So there are 5,040 different ways to arrange 7 letter words.
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It is 6!/3! = 6*5*4 = 120 ways
8! = 40320 ways.
There are 30 ways.
There are 40,320 ways to arrange eight letters. In this case, around sixty of those ways will result in English words.
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