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SAT数学题一道In how many distinguishable ways can be seven letter

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SAT数学题一道
In how many distinguishable ways can be seven letters in the word MINIMUM be arranged,if all the letters are used each time.（翻译：在单词 MINIMUM 中,这七个字母有多少不同的排列.）
M 重复了三次,那该怎么算啊?
感激不尽.
SAT数学题一道In how many distinguishable ways can be seven letter
先假设这7个字母都不一样,这时会有7!这么多种情况；
但是其中字母M重复了3次,字母I重复了2次,所以要用7!除以3!再除以2!,最后就是420.
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