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How many different ways can the letters of ​" accommodate​" be​ arranged?

User Ssmith
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here is your answer.....
How many different ways can the letters of ​" accommodate​" be​ arranged-example-1
User Minh Tri
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Answer:

2,494,800

Explanation:

"Accommodate" has n = 11 letters.

Without repeated letters the answer would be 11! = 39,916,800.

But there are 4 letters repeated twice, these are: (a, c, o, m).

Then the solution is to divide 11! by 2! multiplied 4 times to compensate for duplications, that is:

11! 39,916,800 39,916,800

X = -------------- = -------------------- = ------------------- = 2,494,800

2! 2! 2! 2! 2 . 2 . 2 . 2 16

Then, the letters of ​"accommodate​" can be​ arranged of 2,494,800 different ways

User Shtolik
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