How many eleven-letter words (real or imaginary) can be formed from the letters

Question

How many eleven-letter words (real or imaginary) can be formed from the letters of the word "ARRANGEMENT"?

Note: I have received an answer for this questions that gave the answer 39916800 and the answer was found by using 11! .... I am hesitant to confirm this answer because according to the information that I have gathered, when finding the answer to this question one must consider the repeated letters in the word. For instance, the word ARRANGEMENT has 2 As, 2 Rs, 2 Ns, and 2 Es. What is your opinion pertaining to my thought process?

Please include the proper work for this problem and the correct answer.

Explanation / Answer

ARRANGEMENT = 11 letters

the word ARRANGEMENT has 2 As, 2 Rs, 2 Ns, and 2 Es

the number of words formed with these letters = 11!/ 2!*2!*2!*2! = 2494800

but given that words can be(real or imaginary) that means consider two R's and two As to Ns two Es are different

         the answer would simply be 11!=39916800

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