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

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.

rbing 1年前已收到4个回答举报

拈花一瓣幼苗

共回答了21个问题采纳率：90.5% 举报

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.

1年前

wtt21225 幼苗

共回答了17个问题采纳率：82.4% 举报

gdddrtedf;lhmgvghtdrfgrdgf

1年前

zywn 幼苗

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a44*c53*c31=780

1年前

jackyhaze 幼苗

共回答了1个问题举报

Since in MINIMUM there are 3 M's , you do 3!
Since there are also 2 I's , you have to do 2! as well
Then, since there are seven letters you do 7!, and then divide that (5040) by 3!2! (12) to...

1年前

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