## osanseviero one year ago How many permutations can you make with the word infinite?

1. osanseviero

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

2. Nnesha

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

3. osanseviero

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

4. osanseviero

(5 unique letters)

5. osanseviero

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

6. Nnesha

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

7. Nnesha

yes right total number divide by total number of repeating letters

8. osanseviero

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

9. Nnesha

now solve to find final answer**

10. osanseviero

3360 :)

11. Nnesha

hahah well you don't need formula for this one

12. osanseviero

I know, I just get confused sometimes

13. Nnesha

3360 ?

14. osanseviero

Yep

15. Nnesha

doesn't looks right.

16. osanseviero

Actually it is the correct answer in the book :)

17. Nnesha

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

18. osanseviero

Hehe thanks for all the help :)

19. Nnesha

yes 3360