SOLUTION: can you please help with this question: How many ways can the letters of the word "IRRITATION" be arranged? Tahnk you!

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Question 987415: can you please help with this question:
How many ways can the letters of the word "IRRITATION" be arranged?
Tahnk you!

Found 2 solutions by Edwin McCravy, ikleyn:
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
If it were

IRritaTion

where we could tell the difference between the 3 I's and the 2 T's, 
it would be 10! but since we can't, we must divide through by the 
number of ways the 3 I's and the 2 T's can be arranged in each 
permutation, so we divide it by 3! and 2!

Answer: 10%21%2F%282%213%212%21%29
Edwin

Answer by ikleyn(52816) About Me  (Show Source):
You can put this solution on YOUR website!
.
Following the logic of the previous solver,  the answer should be

%2810%21%29%2F%283%21%2A2%21%2A2%21%29,

because there are three  "I",  two  "R"  and two  "T",  and we can not distinct the arrangements where these letters are permuted.