How many permutations can you make with the word infinite?

Question

osanseviero · Answer

I thought about counting each different letter and then doing by group.

nnesha · Answer

what's the total number of letters ?
and how many letters re repeating ?

osanseviero · Answer

8 letters, with N repeating twice and I repeating 3 times.

osanseviero · Answer

(5 unique letters)

osanseviero · Answer

Got it. It would be the total divided by the total of each one.

nnesha · Answer

alright nice $$\huge\rm \color{ReD}{i}\color{blue}{n}f\color{reD}{i}\color{blue} {n}\color{ReD}{i}te $$     $$\huge\rm \frac{ 8! }{ \color{Red}{3!}\color{blue}{2!} }$$

nnesha · Answer

yes right total number divide by total number of repeating letters

osanseviero · Answer

Thanks a lot. My problem is to distinguish which of so many formulas to use hehe

nnesha · Answer

now   solve to find  final answer**

osanseviero · Answer

3360 :)

nnesha · Answer

hahah well you don't need formula for this one

osanseviero · Answer

I know, I just get confused sometimes

nnesha · Answer

3360 ?

osanseviero · Answer

Yep

nnesha · Answer

doesn't looks right.

osanseviero · Answer

Actually it is the correct answer in the book :)

nnesha · Answer

ohh nvm  *facepalm* i solved `6!` over 3!2!

osanseviero · Answer

Hehe thanks for all the help :)

nnesha · Answer

yes 3360